Complex analytic geometry of complex parallelizable manifolds (1998)


Winkelmann, Jörg
Mémoires de la Société Mathématique de France, Tome 72-73 (1998) viii-216 p doi : 10.24033/msmf.386
URL stable : http://www.numdam.org/item?id=MSMF_1998_2_72-73__R1_0

Bibliographie

[1] Akhiezer, D.N. : Invariant meromorphic functions on complex semisimple Lie groups. Invent. Math. 65, n° 3, 325-329 (1981/1982) MR 83h:32030 | Zbl 0479.32010

[2] Akhiezer, D.N. : Lie Groups actions in complex analysis. Aspects of Mathematics. Vieweg 1995 MR 96g:32051 | Zbl 0845.22001

[3] Akhiezer, D.N. : Group actions on the Dolbeault cohomology of homogeneous manifolds. Math. Z. (1996). Zbl 0891.32007

[4] Atiyah, M. : On the Krull-Schmidt theorem with applications to sheaves. Bull. Soc. Math. France 84, 307-317 (1956) Numdam | MR 19,172b | Zbl 0072.18101

[5] Atiyah, M. : Complex analytic connections in fibre bundles. Trans. Amer. Math. Soc. 85, 181-207 (1957) MR 19,172c | Zbl 0078.16002

[6] Atiyah, M. : K-Theory. Benjamin 1967 MR 36 #7130 | Zbl 0159.53302

[7] Atiyah, M. ; Rees, F. : Vector Bundles on Projective 3-space. Invent. Math. 36, 131-153 (1976) MR 54 #7870 | Zbl 0332.32020

[8] Baker, A. : Transcendental Number Theory. Cambridge University Press 1975 MR 54 #10163 | Zbl 0297.10013

[9] Barlet, D. : Familles analytiques de cycles paramétrées par un espace analytique réduit. LN 481, 1-158. Springer 1975 MR 53 #3347

[10] Barth, W. ; Otte, M. : Über fast-uniforme Untergruppen komplexer Liegruppen und auflösbare komplexe Mannigfaltigkeiten. Comm. Math. Helv. 44, 269-281 (1969) MR 40 #6597 | Zbl 0172.37804

[11] Barth, W. ; Otte, M. : Invariante Holomorphe Funktionen auf reduktiven Liegruppen. Math. Ann. 201, 91-112 (1973) MR 51 #13300 | Zbl 0253.32018

[12] Berteloot, F. ; Oeljeklaus, K. : Invariant Plurisubharmonic Functions and Hypersurfaces on Semisimple Complex Lie Groups. Math. Ann. 281, 513-530 (1988) MR 89i:32065 | Zbl 0653.32029

[13] Bierstone, E. ; Milman, P.D. : Canonical desingularization in characteristic zero by blowing up the maximum strata of a local invariant. Invent. Math. 128, 207-302 (1997) MR 98e:14010 | Zbl 0896.14006

[14] Blanchard, A. : Sur les variétés analytiques complexes. Ann. Sci. ecole norm. sup. 73, 157-202 (1956) Numdam | MR 19,316e | Zbl 0073.37503

[15] Bochner, S. ; Montgomery, D. : Groups on analytic manifolds. Ann. of Math. 48 (2), 659-669 (1947). MR 9,174f | Zbl 0030.07501

[16] Boothby, W. ; Wang, H. : On the finite Subgroups of Connected Lie Groups. Comm. Math. Helv. 39, 281-294 (1964) MR 31 #4856 | Zbl 0138.03001

[17] Borel, A. : Density properties of certain subgroups of semisimple groups without compact components. Ann. of Math. 72, 179-188 (1960) MR 23 #A964 | Zbl 0094.24901

[18] Borel, A. : Compact Clifford Klein forms of symmetric spaces. Topology 2, 111-122 (1963) MR 26 #3823 | Zbl 0116.38603

[19] Borel, A. : Introduction aux groupes arithmetiques. Hermann 1969 MR 39 #5577 | Zbl 0186.33202

[20] Borel, A. : Linear algebraic groups. Second Enlarged Edition. Springer 1991 MR 92d:20001 | Zbl 0726.20030

[21] Borel, A. ; Harish-Chandra : Arithmetic subgroups of algebraic groups. Ann. Math. 75, 485-535 (1962) MR 26 #5081 | Zbl 0107.14804

[22] Borel, A. ; Remmert, R. : Über kompakte homogene Kählersche Mannigfaltigkeiten, Math. Ann. 145, 429-439 (1962) MR 26 #3088 | Zbl 0111.18001

[23] Borel, A. ; Tits, J. : Groupes Reductifs. IHES 27, 55-152 (1965) Numdam | MR 34 #7527 | Zbl 0145.17402

[24] Bourbaki, N. : Intégration. Ch. VII. Hermann, Paris. 1960

[25] Brody, R. : Compact manifolds and hyperbolicity. T.A.M.S. 235, 213-219 (1978) MR 57 #10010 | Zbl 0416.32013

[26] Campana, F. : On Twistor Spaces of the class C.J. Diff. Geo. 33, 541-549 (1991) MR 92g:32059 | Zbl 0694.32017

[27] Campana, F. : Remarques sur le revêtement universel des variétés Kählériennes compactes. Bull. Soc. math. France. 122, 255-284 (1994) Numdam | MR 95f:32036 | Zbl 0810.32013

[28] Campana, F. : Connexité abélienne des variétés kählériennes compactes. C.R. Acad. Sci. Paris, t. 325, Série I, 755-758 (1997) MR 98m:32044 | Zbl 0899.53050

[29] Capocasa, F. ; Catanese, F. : Periodic meromorphic functions. Acta Math. 166, 27-68 (1991) MR 92e:14043 | Zbl 0719.32005

[30] Cartan, E. : La topologie des groupes de Lie. Enseign. math. 35, 177-200 (1936) JFM 62.0441.02 | Zbl 0015.20401

[31] Cernousov, V.I. : On the Hasse-principle for groups of type E8. Dokl. Akad. Nauk. SSSR 306, 1059-1063 (1989) Translation: Sov. Math. Dokl. 39, 592-596 (1989) Zbl 0703.20040

[32] Cordero, L. ; Fernandez, M. ; Gray, A. : La suite spectrale de Frölicher et les nilvariétés complexes compactes. C.R. Acad. Sci. Paris 305, 753-756 (1987) MR 89c:32081 | Zbl 0627.32025

[33] Cordero, L. ; Fernandez, M. ; Gray, A. : The Froehlicher spectral sequence for compact nilmanifolds. Ill. J. Math. 35, no. 1, 56-67 (1991) MR 92b:53112 | Zbl 0721.58003

[34] Corlette, K. : Archimedean superrigidity and hyperbolic geometry. Ann. of Math. 135, 165-182 (1992) MR 92m:57048 | Zbl 0768.53025

[35] Curtis, C. ; Reiner, I. : Representation Theory of Finite Groups and associative algebras. Interscience 1962. (Reprinted 1988 in the Wiley Classics Library series.) Zbl 0634.20001

[36] Dixmier, J. ; Lister, W.G. : Derivations of nilpotent Lie algebras Proc. A.M.S. 8, 155-158 (1957) MR 18,659a | Zbl 0079.04802

[37] Dold, A. : Lectures on Algebraic Topology. Springer Berlin Heidelberg New York 1972 MR 54 #3685 | Zbl 0234.55001

[38] Dynkin, E.B. : Semisimple subalgebras of semisimple Lie algebras. Mat. Sbornik N.S. 30 (72), 349-462, Moskva (1952) MR 13,904c | Zbl 0048.01701

[39] Dynkin, E.B. : Maximal subgroups of classical groups. Trudy Moskov. Mat. Ob. 1, 39-66, Moskva (1952) MR 14,244d | Zbl 0048.01601

[40] Forster, O. ; Knorr, K. : Über die Deformationen von Vektorraumbündeln auf kompakten komplexen Räumen. Math. Ann. 209, 291-346 (1974) MR 51 #10695 | Zbl 0272.32004

[41] Frölicher : Relations between the cohomology groups of Dolbeault and topological invariants. Proc. Nat. Acad. Sci. U.S.A. 41, 641-644 (1955) MR 17,409a | Zbl 0065.16502

[42] Ghys, E. : Déformations des structures complexes sur les espaces homogènes de SL(2,ℂ). J. Reine Angew. Math. 468, 113-138 (1995) MR 96m:32017 | Zbl 0868.32023

[43] Goto, M. : On an arcwise connected subgroup of a Lie group. Proc. A.M.S. 20, 157-162 (1969) MR 38 #2244 | Zbl 0182.04602

[44] Grauert, H. : Holomorphe Funktionen mit Werten in komplexen Lieschen Gruppen. Math. Ann. 133, 450-472 (1957) MR 20 #4660 | Zbl 0080.29202

[45] Grauert, H. ; Remmert, R. : Über kompakte homogene komplexe Mannigfaltigkeiten. Arch. Math. 13, 498-507 (1962) MR 26 #3089 | Zbl 0118.37402

[46] Grauert, H., Remmert, R. : Coherent Analytic Sheaves. Springer 1984 MR 86a:32001 | Zbl 0537.32001

[47] Green, M. ; Griffiths, P. : Two Applications of Algebraic Geometry to Entire Holomorphic Mappings. The Chern Symposium 1979, Springer, New-York Berlin (1980) Zbl 0508.32010

[48] Griffiths, P. ; Harris, J. : Principles of Algebraic Geometry. Pure and Applied Mathematics, Wiley-Interscience, New-York (1978) MR 80b:14001 | Zbl 0408.14001

[49] Gromov, M. ; Schoen, R. : Harmonic maps into singular spaces and p-adic superrigidity for lattices in groups of rank one. Publ. IHES 76, 165-246 (1992). Numdam | MR 94e:58032 | Zbl 0896.58024

[50] Gunning, R. : Introduction to Holomorphic Functions of several variables. 3 volumes. Wadsworth 1990. Zbl 0699.32001

[51] Harder, G. : Bericht über neuere Resultate der Galoiskohomologie halbeinfacher Gruppen. Jahresber. DMV, 70, 182-216 (1968). MR 39 #4165 | Zbl 0194.05701

[52] Hartshorne, R. : Varieties of small codimension in projective space. Bull. A.M.S. 80, 1017-1032 (1974). MR 52 #5688 | Zbl 0304.14005

[53] Hartshorne, R. : Algebraic Geometry. Springer 1977. MR 57 #3116 | Zbl 0367.14001

[54] Higman, G. : A finitely generated infinite simple group. J. London Math. Soc. 26, 61-64 (1951). MR 12,390c | Zbl 0042.02201

[55] Hironaka, H. : Resolution of singularities of an algebraic variety over a field of characteristic zero. I, II. Ann. of Math. (2), 79, 109-326 (1964). MR 33 #7333 | Zbl 0122.38603

[56] Hironaka, H. : Bimeromorphic smoothing of a complex-analytic space. Math. Inst. Warwick Univ. 1971.

[57] Hochschild, G. : The Structure of Lie groups. Holden Day Inc 1965. MR 34 #7696 | Zbl 0131.02702

[58] Huckleberry, A.T. ; Margulis, G.A. : Invariant analytic hypersurfaces. Invent. Math. 71, 235-240 (1983). MR 84i:32046 | Zbl 0507.32024

[59] Huckleberry, A.T. ; Oeljeklaus, E. : Classification theorems for almost homogeneous spaces. Revue De l'Institut Elie Cartan, Numéro 9, Janvier 1984. MR 86g:32050 | Zbl 0549.32024

[60] Huckleberry, A.T. ; Oeljeklaus, E. : On holomorphically separable complex solvmanifolds. Ann. Inst. Fourier XXXVI 3, 57-65 (1986). Numdam | MR 88b:32069 | Zbl 0571.32012

[61] Huckleberry, A.T. : Actions of Groups of Holomorphic Transformations. Encyclopaedia of Mathematical Sciences. Volume 69 Several Complex Variables VI. (1990). MR 92j:32115 | Zbl 0744.32018

[62] Huckleberry, A.T. ; Snow, D. : Pseudoconcave homogeneous manifolds. Ann. Scuola Norm. Sup. Pisa, (4), 7, 29-54 (1980). Numdam | MR 81f:32043 | Zbl 0506.32015

[63] Huckleberry, A.T. ; Winkelmann, J. : Subvarieties of parallelizable manifolds. Math. Ann. 295, 469-483 (1993). MR 94a:32048 | Zbl 0824.32011

[64] Humphries, J. : Linear algebraic groups. GTM 21 Springer 1975. MR 53 #633 | Zbl 0325.20039

[65] Humphries, J. : Arithmetic Groups. LN 789 Springer 1980. MR 82j:10041 | Zbl 0426.20029

[66] Husemoller, Dale : Fibre bundles. 3. ed. Springer 1994. MR 94k:55001 | Zbl 0794.55001

[67] Iwamoto, T. : Density properties of complex Lie groups. Osaka J.Math. 23, 859-865 (1986). MR 88f:22023 | Zbl 0627.22007

[68] Jordan, C. : Mémoire sur les équations différent linéaires à intégrale algébriques. J. Reine Angew. Math. 84, 89-215 (1878). JFM 09.0234.01

[69] Jørgensen, T. : Compact 3-manifolds of constant negative curvature fibering over the circle. Ann. Math. 106, 61-72 (1977). MR 56 #8840 | Zbl 0368.53025

[70] Jost, J. ; Yau, S.T. : Harmonic maps and superrigidity. Proc. Symp. Pure Math. 54, 245-280 (1993). MR 94m:58060 | Zbl 0806.58012

[71] Kaup, B. ; Kaup, L. : Holomorphic Functions of Several Variables. De Gruyter 1983. MR 85k:32001 | Zbl 0528.32001

[72] Každan, D.A. : Connection of the dual space of a group with the structure of its closed subgroups. Funct. Anal. Appl. 1, 63-65 (1967). MR 35 #288 | Zbl 0168.27602

[73] Každan, D.A. ; Margulis, G.A. : A proof of Selbergs hypothesis. Math. Sbornik 75, 162-168 (1968). MR 36 #6535 | Zbl 0241.22024

[74] Knapp, A. : Lie Groups Beyond an Introduction. Birkhäuser 1996. MR 98b:22002 | Zbl 0862.22006

[75] Kobayashi, S. : Hyperbolic manifolds and holomorphic mappings. Dekker Inc. 1970. MR 43 #3503 | Zbl 0207.37902

[76] Koblitz, N. ; Rohrlich, D. : Simple factors in the Jacobian of a Fermat curve. Canad. J. Math. 31, 1183-1205 (1978). MR 80d:14022 | Zbl 0399.14023

[77] Kraft, H. : Geometrische Methoden in der Invariantentheorie. Aspekte der Mathematik, Band D1. Vieweg 1984. MR 86j:14006 | Zbl 0669.14003

[78] Lang, S. : Abelian Varieties. Interscience 1959. MR 21 #4959 | Zbl 0098.13201

[79] Lang, S. : Complex Multiplication. Springer 1983. MR 85f:11042 | Zbl 0536.14029

[80] Lang, S. : Introduction to Complex Hyperbolic Spaces. Springer 1987. MR 88f:32065 | Zbl 0628.32001

[81] Lescure, F. : Action non triviale sur le premier groupe de comologie de Dolbeault. Comptes Rendus Acad. Sci. Paris 316, 823-825 (1993). MR 94d:32045 | Zbl 0784.32011

[82] Lescure, F. : Cohomologie totale et courants de Dolbeault invariants. J. Reine Angew. Math. 475, 103-136 (1996). MR 98a:32041 | Zbl 0848.32022

[83] Lindemann : Über die Zahl π. Math. Ann. 20, 213-225 (1882). JFM 14.0369.04

[84] Lubotzky, A. : Free Quotients and the first Betti number of some hyperbolic manifolds. Transformation Groups. 1, 71-82 (1996). MR 97d:57016 | Zbl 0876.22015

[85] Lundell, A. ; Weingram, S. : The topology of CW-complexes. Van Nostrand 1969. Zbl 0207.21704

[86] Makarov, V.S. : On a certain class of discrete groups of Lobachevsky space having an infinite fundamental region of finite measure. Soviet Math. Dokl. 7, 328-331 (1966). MR 36 #3566 | Zbl 0146.16502

[87] Malcev, A. : On isomorphism matrix representations of infinite groups. Mat. Sb. 8, 405-422 (1940). JFM 66.0088.03 | MR 2,216d | Zbl 0025.00804

[88] Malcev, A. : Commutative subalgebras of semisimple Lie algebras. Izv. Nauk USSR 9, 291-300 (1945). MR 7,362a | Zbl 0063.03728

[89] Malcev, A. : On a class of homogeneous spaces. Izvestiya Akad. Nauk SSSR Ser. Math. 13 (1949)/ AMS Transl. no. 39 (1951). MR 10,507d | Zbl 0034.01701

[90] Margulis, G.A. : Free totally discontinuous groups of affine transformations. Soviet Math. Doklady 28, 435-439 (1983). Zbl 0578.57012

[91] Margulis, G.A. : Complete affine locally flat manifolds with free fundamental group. Zapiski Nauen. Sem. Leningrad Otd. Mat. Inst. Steklov 134, 190-205 (1984) [in Russian]. MR 86h:22019 | Zbl 0547.57030

[92] Margulis, G. : Discrete subgroups of semi-simple Lie groups. Erg. Math., Springer-Verlag 1990. Zbl 0732.22008

[93] Matsushima, Y. : On the discrete subgroups and homogeneous spaces of nilpotent Lie groups. Nagoya Math. J. 2, 95-110 (1951). MR 12,802b | Zbl 0045.31002

[94] Matsushima, Y. : Fibrés holomorphes sur un tore complexe. Nagoya Math. J. 14, 1-24 (1959). MR 21 #1403 | Zbl 0095.36702

[95] Matsushima, Y. : Espaces homogènes de Stein des groupes de Lie complexes I. Nagoya Math. J. 16, 205-218 (1960). MR 22 #739 | Zbl 0094.28201

[96] Matsushima, Y. ; Morimoto, A. : Sur certaines espaces fibrés holomorphes sur une variété de Stein. Bull. Soc. Math. France 88, 137-155 (1960). Numdam | MR 23 #A1061 | Zbl 0094.28104

[97] Millson, J.J. : On the first Betti number of a compact constant negatively curved manifold. Ann. of Math. 104, 235-247 (1976). MR 54 #10488 | Zbl 0364.53020

[98] Milnor, J. : On fundamental groups of completely affinely flat manifolds. Adv. Math. 25, 178-187 (1977). MR 56 #13130 | Zbl 0364.55001

[99] Mok, N. ; Siu, Y.T. ; Yeung, S.K. : Geometric superrigidity. Invent. math. 113, 57-83 (1993). MR 94h:53079 | Zbl 0808.53043

[100] Montgomery, D. ; Zippin, L. : Topological Transformation Groups. Interscience 1955. MR 17,383b | Zbl 0068.01904

[101] Morimoto, A. : Sur le groupe d'automorphismes d'un espace fibré principal analytique complexe. Nagoya Math. J. 13, 157-168 (1959). MR 20 #2474 | Zbl 0107.28603

[102] Moskowitz, M. : On the density theorems of Borel and Furstenberg. Ark. Mat. 16, 11-27 (1978). MR 58 #22393 | Zbl 0383.22008

[103] Mostow, G.D. : Factor spaces of solvable groups. Ann. of Math. 60, 1-27 (1954). MR 15,853g | Zbl 0057.26103

[104] Mostow, G.D. : Homogeneous spaces of finite invariant measures Ann. of Math. 75, 17-37 (1962) MR 26 #2546 | Zbl 0115.25702

[105] Mostow, G.D. : Intersection of discrete subgroups with Cartan subgroups. J. Ind. Math. Soc. 34, 203-214 (1970) MR 58 #11228 | Zbl 0235.22019

[106] Mostow, G.D. : Arithmetic subgroups of groups with radical. Ann. Math. 93, 409-438 (1971) MR 44 #6901 | Zbl 0212.36403

[107] Mostow, G.D. ; Tamagawa, T. : On the compactness of the arithmetically defined homogeneous spaces. Ann. Math. 76, 440-463 (1962) MR 25 #5069 | Zbl 0196.53201

[108] Mumford, D. : Abelian varieties. Oxford University Press 1970 MR 44 #219 | Zbl 0223.14022

[109] Murakami, S. : Sur certains espaces fibrés principaux holomorphes admettant des connexions holomorphes. Osaka Math. J. 11, 43-62 (1959) MR 22 #958 | Zbl 0087.37201

[110] Nakamura, I. : Complex parallisable manifolds and their small deformations. J. Diff. Geo. 10, 85-112 (1975). MR 52 #14389 | Zbl 0297.32019

[111] Neukirch : Algebraische Zahlentheorie. Springer 1992 Zbl 0747.11001

[112] Oeljeklaus, K. : Hyperflächen und Geradenbündel auf homogenen komplexen Mannnigfaltigkeiten. Schriftenreihe Math. Inst. Univ. Münster (2) 36 (1985) MR 87h:32063 | Zbl 0594.32032

[113] Oeljeklaus, K. ; Winkelmann, J. : Some Remarks on Parallelizable Manifolds. Publ. IRMA, Lille 27, 1992

[114] Okonek, Ch. ; Schneider, M. ; and Spindler, H. : Vector Bundles on Complex Projective Spaces. Progress in Math. 3, Birkhäuser Boston, 1980 MR 81b:14001 | Zbl 0438.32016

[115] Onishchik, A. ; Vinberg, E. : Lie groups and Algebraic groups. Springer 1990 MR 91g:22001 | Zbl 0722.22004

[116] Otte, M. : Über homogene kompakte komplexe Mannigfaltigkeiten. Habilitationsschrift. Münster 1972

[117] Otte, M. ; Potters, J. : Beispiele homogener Mannigfaltigkeiten. Manu. math. 10, 117-127 (1973) MR 48 #8859 | Zbl 0264.32013

[118] Pansu, P. : Sous-groupes discrets des groupes de Lie : rigidité, arithmeticité. Séminaire Bourbaki. 46ème année (1993/1994), exposé 778 Numdam | Zbl 0835.22011

[119] Parshin : Generalized Jacobians. Transl. A.M.S. 84 (1968)

[120] Pothering, G. : Meromorphic function fields of non-compact ℂ/Г. Ph. D. thesis. Notre Dame University, Indiana 1977

[121] Raghunathan, M.S. : On the first cohomology of discrete subgroups of semisimple Lie groups. Amer. J. Math. 87, 103-139 (1965) MR 30 #3940 | Zbl 0132.02102

[122] Raghunathan, M.S. : Vanishing Theorems for Cohomology Groups Associated To Discrete Subgroups of Semisimple Lie Groups. Osaka J. Math. 3, 243-256 (1966) MR 35 #1719 | Zbl 0145.43702

[123] Raghunathan, M.S. : Discrete subgroups of Lie groups. Erg. Math. Grenzgeb. 68, Springer (1972) MR 58 #22394a | Zbl 0254.22005

[124] Rajan, C.S. : Deformations of complex structure Г\SL2(ℂ). Proc. Indian Acad. Sci. Math. Sci. 104, n° 2, 389-395 (1994). MR 95h:22014 | Zbl 0837.11034

[125] Remmert, R. : Meromorphe Funktionen in Kompakten Komplexen Räumen. Math. Ann. 132, 277-288 (1956) MR 19,171a | Zbl 0072.08001

[126] Remmert, R. ; Van De Ven, T. : Zur Funktionentheorie homogener komplexer Mannigfaltigkeiten. Topology 2, 137-157 (1963) MR 26 #5594 | Zbl 0122.08602

[127] Rosay, J.P. ; Rudin, W. : Holomorphic maps from ℂn to ℂn Trans. A.M.S. 310, 47-86 (1988) MR 89d:32058 | Zbl 0708.58003

[128] Rosenlicht, M. : On quotient varieties and the affine embedding of certain homogeneous spaces. Trans. A.M.S. 101, 211-223 (1961) MR 24 #A732 | Zbl 0111.17902

[129] Sakane, Y. : On Compact Complex parallelisable Solvmanifolds. Osaka J. Math. 13, 187-219 (1976) MR 54 #10692 | Zbl 0361.22005

[130] Scharlau, W. : Quadratic and hermitian forms. Grundlehren der mathematischen Wissenschaften, 270. Springer 1985 MR 86k:11022 | Zbl 0584.10010

[131] Schur, I. : Über Gruppen periodischer Substitutionen. Sitzber. Preuss. Akad. Wiss., 619-627 (1911) JFM 42.0155.01

[132] Schur, I. : Zur Theorie vertauschbarer Matrizen. J. Reine Angew. Math. 30, 66-76 (1905) JFM 36.0140.01

[133] Serre, J.P. : Galois Cohomology. Translated from the French by Patrick Ion and revised by the author. Springer 1997 MR 98g:12007 | Zbl 0902.12004

[134] Serre, J.P. : Cohomologie galoisienne. Lecture Notes in Mathematics, Springer 1994 MR 96b:12010 | Zbl 0812.12002

[135] Shimura, G. ; Taniyama, Y. : Complex multiplications of abelian varieties and its applications to number theory. Publ. Math. Soc. Japan 6 (1961) MR 23 #A2419 | Zbl 0112.03502

[136] Selberg, A. : On discontinuous groups in higher-dimensional symmetric spaces. in Contributions to function theory. Bombay 1960, p. 147-164 MR 24 #A188 | Zbl 0201.36603

[137] Serre, J.P. : Sur les modules projectifs. Sem. Dubreil-Pisot exposé 2. (1960/1961) Numdam | Zbl 0132.41301

[138] Snow, D. ; Winkelmann, J. : Homogeneous Manifolds with Large Automorphism Groups. Invent. math. (1998) MR 99f:32054 | Zbl 0901.32022

[139] Spanier, E. : Algebraic Topology McGraw-Hill 1966. Corrected Reprint : Springer 1981 Zbl 0477.55001

[140] Taubes, C.H. : The existence of self-dual conformal structures. J. Diff. Geom. 36, 163-253 (1992) MR 93j:53063 | Zbl 0822.53006

[141] Thurston, W. : Threedimensional manifolds, Kleinian groups and Hyperbolic Geometry. Bull. A.M.S. 6, N.S. 357-381 (1982) MR 83h:57019 | Zbl 0496.57005

[142] Thurston, W. : Three-dimensional geometry and topology. Vol. 1. Edited by Silvio Levy. Princeton Mathematical Series, 35. Princeton University Press 1997 MR 97m:57016 | Zbl 0873.57001

[143] Tits, J. : Espaces homogènes complexes compacts. Comm. Math. Helv. 37 (1962), 111-120 MR 27 #4248 | Zbl 0108.36302

[144] Tits, J. : Tabellen zu den eifachen Lie Gruppen und ihren Darstellungen. Springer LN 40. 1967 Zbl 0166.29703

[145] Tits, J. : Free subgroups in linear groups. J. Algebra 20, 250-270 (1972) MR 44 #4105 | Zbl 0236.20032

[146] Ueno, K. : Classification Theory of Algebraic Varieties and Compact Complex Spaces. LN 439 Springer 1975 MR 58 #22062 | Zbl 0299.14007

[147] Varouchas, J. : Kähler spaces and proper open morphisms. Math. Ann. 283, 13-52 (1989) MR 89m:32021 | Zbl 0632.53059

[148] Vinberg, E.B. : Discrete groups generated by reflections in Lobachevsky spaces. Math. USSR Sbornik 1, 429-444 (1967)

[149] Wang, H. : Complex parallelisable manifolds. Proc. A.M.S. 5, 771-776 (1954) Zbl 0056.15403

[150] Weil, A. : On discrete subgroups of Lie groups I, II. Ann. Math. 72, 369-384 (1960) and 75, 578-602 (1962) MR 25 #1241 | Zbl 0131.26602

[151] Weil, A. : Remarks on the cohomology of groups. Ann. of Math. 80, 149-157 (1964) MR 30 #199 | Zbl 0192.12802

[152] Winkelmann, J. : Every compact complex manifold admits a holomorphic vector bundle. Revue Roum. Math. Pures et Appl. 38, 743-744 (1993) MR 95a:32051 | Zbl 0813.32025

[153] Winkelmann, J. : Complex-Analytic Geometry of Complex Parallelizable Manifolds. Habilitationsschrift. Ruhr-Universität Bochum. Schriftenreihe des Graduiertenkolleg, Heft 13 (1995)

[154] Holomorphic Functions on Algebraic Groups Invariant under a Zariski dense subgroup. 519-529 in Proc. Complex Analysis and Geometry. Lecture Notes in Pure and Applied Math., Dekker Inc. 1995 Zbl 0856.32021

[155] Winkelmann, J. : Complex Parallelizable Manifolds. Proc. Geometric Complex Analysis. 667-678 ed. by J. Noguchi et. al. World Scientific Publishing. Singapur 1996 MR 98g:32055 | Zbl 0917.32005

[156] Winkelmann, J. : On Discrete Zariski Dense Subgroups of Algebraic Groups. Math. Nachr. 186, 285-302 (1997) MR 98d:20052 | Zbl 0897.14015

[157] Winkelmann, J. : Only Countably Many Simply-Connected Lie Groups Admit Lattices. Complex Analysis and Geometry. Pitman Research Notes in Mathematics Series. V. Ancona, E. Ballico, R. Miro-Roig, A. Silva eds. Zbl 0915.22007

[158] Winkelmann, J. : Holomorphic self-maps of Parallelizable Manifolds. Transformation Groups. (1998) MR 99c:57068 | Zbl 0902.32009

[159] Winkelmann, J. : Homogeneous Vector bundles on Parallelizable Manifolds. (to appear)

[160] Winkelmann, J. : The Albanese Variety of a Complex Parallelizable Manifold. (to appear).

[161] Winkelmann, J. : Arithmeticity of complex nilmanifolds. (to appear)

[162] Wu, T.S. : A Note on a Theorem on lattices in Lie Groups. Canad. Math. Bull. 31 (2), (1988) MR 89e:22017 | Zbl 0653.22009

[163] Zimmer, R. : Ergodic Theory and Semisimple Groups. Birkhäuser 1984 MR 86j:22014 | Zbl 0571.58015