@incollection{SB_1998-1999__41__351_0, author = {Bryant, Robert}, title = {Recent advances in the theory of holonomy}, booktitle = {S\'eminaire Bourbaki : volume 1998/99, expos\'es 850-864}, series = {Ast\'erisque}, note = {talk:861}, pages = {351--374}, publisher = {Soci\'et\'e math\'ematique de France}, number = {266}, year = {2000}, mrnumber = {1772679}, zbl = {1014.53029}, language = {en}, url = {http://www.numdam.org/item/SB_1998-1999__41__351_0/} }
TY - CHAP AU - Bryant, Robert TI - Recent advances in the theory of holonomy BT - Séminaire Bourbaki : volume 1998/99, exposés 850-864 AU - Collectif T3 - Astérisque N1 - talk:861 PY - 2000 SP - 351 EP - 374 IS - 266 PB - Société mathématique de France UR - http://www.numdam.org/item/SB_1998-1999__41__351_0/ LA - en ID - SB_1998-1999__41__351_0 ER -
%0 Book Section %A Bryant, Robert %T Recent advances in the theory of holonomy %B Séminaire Bourbaki : volume 1998/99, exposés 850-864 %A Collectif %S Astérisque %Z talk:861 %D 2000 %P 351-374 %N 266 %I Société mathématique de France %U http://www.numdam.org/item/SB_1998-1999__41__351_0/ %G en %F SB_1998-1999__41__351_0
Bryant, Robert. Recent advances in the theory of holonomy, in Séminaire Bourbaki : volume 1998/99, exposés 850-864, Astérisque, no. 266 (2000), Talk no. 861, 24 p. http://www.numdam.org/item/SB_1998-1999__41__351_0/
[Al1] Riemannian spaces with unusual holonomy groups, Funct. Anal. Appl. 2 (1968), 97-105. | MR | Zbl
-[Al2] Classification of quaternionic spaces with a transitive solvable group of motions, Math. USSR-Izv 9 (1975), 297-339. | Zbl
-[AS] A theorem on holonomy, Trans. Amer. Math. Soc. 75 (1953), 428-443. | MR | Zbl
and -[BB] On the holonomy of Lorentzian manifolds, Proc. Symp. Pure Math. 54 (1993), 27-40. | MR | Zbl
-[BI] Sur l'holonomie des variétés pseudo-riemanniennes de signature , Bull. Soc. Math. France 125 (1997), 93-114. | Numdam | MR | Zbl
and -[Ber1] Sur les groupes d'holonomie des variétés à connexion affine et des variétés riemanniennes, Bull. Soc. Math. France 83 (1955), 279-330. | Numdam | MR | Zbl
,[Ber2] Les espaces symétriques non compacts, Ann. Sci. École Norm. Sup. 74 (1957), 85-177. | Numdam | MR | Zbl
-[Bes] Einstein Manifolds, Ergebnisse der Mathematik und ihrer Grenzgebiete, 3. Folge, Band 10, Springer-Verlag, Berlin, 1987. | MR | Zbl
-[BL] Groupes d'holonomie des variétés riemanniennes, C.R. Acad. Sci. Paris 234 (1952), 1835-1837. | MR | Zbl
and -[BG] Riemannian manifolds with holonomy group , in Differential Geometry (in honor of Kentaro Yano), Kinokuniya, Tokyo, 1972, 41-59. | MR | Zbl
and -[Br1] Metrics with exceptional holonomy, Ann. Math. 126 (1987), 525- 576. | MR | Zbl
-[Br2] Two exotic holonomies in dimension four, path geometries, and twistor theory, Amer. Math. Soc. Proc. Symp. Pure Math. 53 (1991), 33-88. | MR | Zbl
-[Br3] Classical, exceptional, and exotic holonomies: a status report, in Actes de la Table Ronde de Géométrie Différentielle en l'Honneur de Marcel Berger, Soc. Math. France, 1996, 93-166. | MR | Zbl
-[BCG] Exterior Differential Systems, MSRI Series 18, Springer-Verlag, 1991. | MR | Zbl
, et al -[BS] On the construction of some complete metrics with exceptional holonomy, Duke Math. J. 58 (1989), 829-850. | MR | Zbl
and -[Ca1] La Géometrie des Espaces de Riemann, Memorial des SciencesMathématiques, Fasc. IX (1925). (Especially, Chapitre VII, Section II.) | JFM | Numdam
-[Ca2]Les groupes d'holonomie des espaces généralisés, Acta. Math. 48 (1926), 1-42. | JFM
-[CMS] On the existence of infinite series of exotic holonomies. Inventiones Math. 126 (1996), 391-411. | MR | Zbl
, , and -[ChS] Exotic holonomy on moduli spaces of rational curves, Differential Geom. App. 8 (1998), 105-134. | MR | Zbl
and -[Gr] Carnot-Carathéodory spaces seen from within, in Sub-Riemannian geometry, Progr. Math. 144, Birkhäuser, Basel, 1996, 79-323. | MR | Zbl
-[Jol] Compact Riemannian -manifolds with holonomy : I & II, J. Differential Geom. 43 (1996), 291-328, 329-375. | MR | Zbl
-[Jo2] Compact -manifolds with holonomy , Inventiones Math. 123 (1996), 507-552. | MR | Zbl
-[Jo3] Compact manifolds with special holonomy, Oxford University Press, Oxford, 2000 (projected). | MR | Zbl
-[KNa] On filtered Lie algebras and geometric structures, II, J. Math. Mech. 14 (1965), 513-521. | MR | Zbl
and -[KNo] Foundations of Differential Geometry, Vols. 1 & 2, Wiley-Interscience, New York, 1963. | MR | Zbl
and -[LM] Spin geometry, Princeton Math. Series 38, Princeton Univ. Press, Princeton, NJ, 1989. | MR | Zbl
and -[Me1] Moduli spaces of compact complex submanifolds of complex fibered manifolds, Math. Proc. Camb. Phil. Soc. 118 (1995), 71-91. | MR | Zbl
-[Me2] Geometry of Kodaira moduli spaces, Proc. Amer. Math. Soc. 124 (1996), 1499-1506. | MR | Zbl
-[Me3] Existence and geometry of Legendre moduli spaces, Math. Z. 226 (1997), 211-265. | MR | Zbl
-[MS1] Classification of irreducible holonomies of torsion-free affine connections, Ann. Math. (to appear). | MR | Zbl
and -[MS2] Twistor solution of the holonomy problem, 395-402, The Geometric Universe, Science, Geometry and the work of Roger Penrose, S.A. Hugget (ed.), Oxford Univ. Press, 1998. | MR | Zbl
and -[PoS] Quaternionic Kähler -manifolds with positive scalar curvature, J. Differential Geom. 33 (1991), 363-378. | MR | Zbl
and -[Sa] Riemannian geometry and holonomy groups, Pitman Research Notes in Math., no. 201, Longman Scientific & Technical, Essex, 1989. | MR | Zbl
-[Scho] On the number of degrees of freedom of the geodetically moving systems, Proc. Kon. Acad. Wet. Amsterdam 21 (1918), 607-613.
-[Schw] On the classification of holonomy representations, Habilitationsschrift, Universität Leipzig, 1998.
-[Wi] On compact Riemannian manifolds with noncompact holonomy groups, 1999 preprint. URL: http://wwwmath.uni-muenster.de/math/inst/sfb/about/publ/wilking.ps | MR
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