Differential geometry of quaternionic manifolds
Annales scientifiques de l'École Normale Supérieure, Serie 4, Volume 19 (1986) no. 1, pp. 31-55.
@article{ASENS_1986_4_19_1_31_0,
     author = {Salamon, S. M.},
     title = {Differential geometry of quaternionic manifolds},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     pages = {31--55},
     publisher = {Elsevier},
     volume = {Ser. 4, 19},
     number = {1},
     year = {1986},
     doi = {10.24033/asens.1503},
     zbl = {0616.53023},
     mrnumber = {87m:53079},
     language = {en},
     url = {http://www.numdam.org/articles/10.24033/asens.1503/}
}
TY  - JOUR
AU  - Salamon, S. M.
TI  - Differential geometry of quaternionic manifolds
JO  - Annales scientifiques de l'École Normale Supérieure
PY  - 1986
DA  - 1986///
SP  - 31
EP  - 55
VL  - Ser. 4, 19
IS  - 1
PB  - Elsevier
UR  - http://www.numdam.org/articles/10.24033/asens.1503/
UR  - https://zbmath.org/?q=an%3A0616.53023
UR  - https://www.ams.org/mathscinet-getitem?mr=87m:53079
UR  - https://doi.org/10.24033/asens.1503
DO  - 10.24033/asens.1503
LA  - en
ID  - ASENS_1986_4_19_1_31_0
ER  - 
%0 Journal Article
%A Salamon, S. M.
%T Differential geometry of quaternionic manifolds
%J Annales scientifiques de l'École Normale Supérieure
%D 1986
%P 31-55
%V Ser. 4, 19
%N 1
%I Elsevier
%U https://doi.org/10.24033/asens.1503
%R 10.24033/asens.1503
%G en
%F ASENS_1986_4_19_1_31_0
Salamon, S. M. Differential geometry of quaternionic manifolds. Annales scientifiques de l'École Normale Supérieure, Serie 4, Volume 19 (1986) no. 1, pp. 31-55. doi : 10.24033/asens.1503. http://www.numdam.org/articles/10.24033/asens.1503/

[A] M. F. Atiyah, Instantons in Two and Four Dimensions (Commun. Math. Phys., Vol. 93, 1984, pp. 437-451). | MR | Zbl

[ADHS] M. F. Atiyah, V. G. Drinfeld, N. J. Hitchin and Y. I. Manin, Construction of Instantons (Phys. Lett., Vol. 65A, 1978, pp. 185-187). | MR | Zbl

[AHS] M. F. Atiyah, N. J. Hitchin and I. M. Singer, Self-duality in Four-Dimensional Riemannian Geometry (Proc. R. Soc. Lond. Ser. A, Vol. 362, 1978, pp. 425-461). | MR | Zbl

[BS] S. R. Barker and S. M. Salamon, Analysis on a Generalized Heisenberg Group (J. Lond. Math. Soc., II. Ser., Vol. 28, 1983, pp. 184-192). | MR | Zbl

[B] A. Beauville, Variétés Köhlériennes dont la première classe de Chern est nulle (J. Differ. Geom., Vol. 18, 1983, pp. 755-782). | MR | Zbl

[BO] L. Bérard Bergery and T. Ochiai, On some Generalization of the Construction of Twistor Spaces, in Global Riemannian Geometry, edited by T. J. WILLMORE and N. J. HITCHIN, Ellis Horwood, Chichester, 1984. | MR | Zbl

[Be] M. Berger, Sur les groupes d'holonomie homogène des variétés à connexion affines et des variétés riemanniennes (Bull. Soc. Math. Fr., Vol. 83, 1955, pp. 279-330). | Numdam | MR | Zbl

[Bes] A. Besse, Einstein Manifolds (in preparation).

[Bo1] E. Bonan, Sur les G-structures de type quaternionien (Cah. Topologie Geom. Differ., Vol. 9, 1967, pp. 389-461). | Numdam | MR | Zbl

[Bo2] E. Bonan, Sur l'algèbre extérieure d'une variété presque hermitienne quaternionique (C. R. Acad. Sc. Paris, série I, Vol. 296, 1983, pp. 601-602). | MR | Zbl

[C] E. Calabi, Métriques Köhlériennes et fibrés holomorphes (Ann. Sc. Ec. Norm. Super., IV. Ser., Vol. 12, 1979, pp. 269-294). | EuDML | Numdam | MR | Zbl

[D] S. K. Donaldson, Vector Bundles on the Flag Manifold and the Ward Correspondence (to appear). | MR | Zbl

[E] M. G. Eastwood, The Generalized Penrose-Ward Transform (Math. Proc. Camb. Phil. Soc., Vol. 97, 1985, pp. 165-187). | MR | Zbl

[Eh] C. Ehresmann, Sur la théorie des espaces fibrés (Colloq. Int. Top. Alg. C.N.R.S., Paris, 1947, pp. 3-35). | MR | Zbl

[F] H. D. Fegan, Conformally Invariant First Order Differential Operators (Q. J. Math., Oxf., II. Ser., Vol. 27, 1976, pp. 371-378). | MR | Zbl

[G] A. Gray, A Note on Manifolds Whose Holonomy is a Subgroup of Sp(n) Sp(1) (Mich. Math. J., Vol. 16, 1969, pp. 125-128). | MR | Zbl

[Gu] V. W. Guillemin, The Integrability Problem for G-structures (Trans. Amer. Math. Soc., Vol. 116, 1965, pp. 544-560). | MR | Zbl

[HKLR] N. J. Hitchin, A. Karlhede, U. Lindström and M. Roček, Algebraic Constructions of Hyperköhler Manifolds (in press).

[H] R. Howe, Remarks on Classical Invariant Theory, preprint. | MR | Zbl

[I] S. Ishihara, Quaternion Köhlerian Manifolds (J. Differ. Geom., Vol. 4, 1974, pp. 483-500). | MR | Zbl

[K] F. Kirwan, On the Topology of Hyperköhler Quotients, preprint.

[Ko] S. Kobayashi, Transformation Groups in Differential Geometry, Springer-Verlag, Berlin-Heidelberg-New York, 1972. | MR | Zbl

[KN] S. Kobayashi and K. Nagano, On Filtered Lie Algebras and Geometric Structures II (J. Math. Mech., Vol. 14, 1963, pp. 513-521). | MR | Zbl

[Kos] B. Kostant, A Formula for the Multiplicity of a Weight (Trans. Amer. Math. Soc., Vol. 93, 1959, pp. 53-73). | MR | Zbl

[Ku] R. S. Kulkarni, On the Principle of Uniformization (J. Differ. Geom., Vol. 13, 1978, pp. 109-138). | MR | Zbl

[L] P. Libermann, Sur le problème d'équivalence de certaines structures infinitésimales (Ann. Mat. Pura Appl., Vol. 36, 1954, pp. 27-120). | MR | Zbl

[M] S. Marchiafava, Sulle varietà a struttura quaternionale generalizzata (Rend. Mat., VI. Ser., Vol. 3, 1970, pp. 529-545). | MR | Zbl

[MR] S. Marchiafava and G. Romani, Sui fibrati con struttura quaternionale generalizzata (Ann. Mat. Pura Appl., IV. Ser., Vol. 107, 1976, pp. 131-157). | MR | Zbl

[Ma] E. Martinelli, Varietà a struttura quaternionale generalizzata (Atti Acad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Nat., Vol. 26, 1959, pp. 353-362). | MR | Zbl

[O] M. Obata, Affine Connections on Manifolds with Almost Complex, Quaternionic or Hermitian Structure (Jap. J. Math., New Ser., Vol. 26, 1956, pp. 43-79). | MR | Zbl

[Oc] T. Ochiai, Geometry Associated with Semisimple Flat Homogeneous Spaces (Trans. Amer. Math. Soc., Vol. 152, 1970, pp. 159-193). | MR | Zbl

[NN] A. Newlander and L. Nirenberg, Complex Analytic Coordinates in Almost Complex Manifolds (Ann. Math., II. Ser., Vol. 65, 1957, pp. 391-404). | MR | Zbl

[P] R. Penrose, Twistor Theory, Its Aims and Achievements, in Quantum Gravity, an Oxford Symposium, edited by C. J. ISHAM et al., Oxford University Press, 1975. | MR

[S1] S. M. Salamon, Quaternionic Manifolds (Symp. Math., Vol. 26, 1982, pp. 139-151). | MR | Zbl

[S2] S. Salamon, Quaternionic Köhler Manifolds (Invent. Math., Vol. 67, 1982, pp. 143-171). | EuDML | MR | Zbl

[S3] S. M. Salamon, Quaternionic Structures and Twistor Space, in Global Riemannian Geometry, edited by T. J. WILLMORE and N. J. HITCHIN, Ellis Horwood, Chichester, 1984. | MR | Zbl

[S4] S. Salamon, Topics in Four-Dimensional Riemannian Geometry, in Geometry Seminar Luigi Bianchi (Lect. Notes in Math., 1022, Springer-Verlag, Berlin-Heidelberg - New York, 1983). | MR | Zbl

[So] A. Sommese, Quaternionic Manifolds (Math. Ann., Vol. 212, 1975, pp. 191-214). | EuDML | MR | Zbl

[SS] I. M. Singer and S. Sternberg, The Infinite Groups of Lie and Cartan I. The Transitive Groups (J. Analyse Math., Vol. 15, 1965, pp. 1-114). | MR | Zbl

[Z] D. P. Zelobenko, Compact Lie Groups and their Representations, Translations of Mathematical Monographs 40 (Amer. Math. Soc., Providence, 1973). | MR | Zbl

Cited by Sources: