@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},
year = {1986},
publisher = {Elsevier},
volume = {Ser. 4, 19},
number = {1},
doi = {10.24033/asens.1503},
mrnumber = {87m:53079},
zbl = {0616.53023},
language = {en},
url = {https://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 SP - 31 EP - 55 VL - 19 IS - 1 PB - Elsevier UR - https://www.numdam.org/articles/10.24033/asens.1503/ DO - 10.24033/asens.1503 LA - en ID - ASENS_1986_4_19_1_31_0 ER -
Salamon, S. M. Differential geometry of quaternionic manifolds. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 19 (1986) no. 1, pp. 31-55. doi: 10.24033/asens.1503
[A] , Instantons in Two and Four Dimensions (Commun. Math. Phys., Vol. 93, 1984, pp. 437-451). | Zbl | MR
[ADHS] , , and , Construction of Instantons (Phys. Lett., Vol. 65A, 1978, pp. 185-187). | Zbl | MR
[AHS] , and , Self-duality in Four-Dimensional Riemannian Geometry (Proc. R. Soc. Lond. Ser. A, Vol. 362, 1978, pp. 425-461). | Zbl | MR
[BS] and , Analysis on a Generalized Heisenberg Group (J. Lond. Math. Soc., II. Ser., Vol. 28, 1983, pp. 184-192). | Zbl | MR
[B] , Variétés Köhlériennes dont la première classe de Chern est nulle (J. Differ. Geom., Vol. 18, 1983, pp. 755-782). | Zbl | MR
[BO] and , 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. | Zbl | MR
[Be] , 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). | Zbl | MR | Numdam
[Bes] , Einstein Manifolds (in preparation).
[Bo1] , Sur les G-structures de type quaternionien (Cah. Topologie Geom. Differ., Vol. 9, 1967, pp. 389-461). | Zbl | MR | Numdam
[Bo2] , Sur l'algèbre extérieure d'une variété presque hermitienne quaternionique (C. R. Acad. Sc. Paris, série I, Vol. 296, 1983, pp. 601-602). | Zbl | MR
[C] , Métriques Köhlériennes et fibrés holomorphes (Ann. Sc. Ec. Norm. Super., IV. Ser., Vol. 12, 1979, pp. 269-294). | Zbl | MR | Numdam | EuDML
[D] , Vector Bundles on the Flag Manifold and the Ward Correspondence (to appear). | Zbl | MR
[E] , The Generalized Penrose-Ward Transform (Math. Proc. Camb. Phil. Soc., Vol. 97, 1985, pp. 165-187). | Zbl | MR
[Eh] , Sur la théorie des espaces fibrés (Colloq. Int. Top. Alg. C.N.R.S., Paris, 1947, pp. 3-35). | Zbl | MR
[F] , Conformally Invariant First Order Differential Operators (Q. J. Math., Oxf., II. Ser., Vol. 27, 1976, pp. 371-378). | Zbl | MR
[G] , A Note on Manifolds Whose Holonomy is a Subgroup of Sp(n) Sp(1) (Mich. Math. J., Vol. 16, 1969, pp. 125-128). | Zbl | MR
[Gu] , The Integrability Problem for G-structures (Trans. Amer. Math. Soc., Vol. 116, 1965, pp. 544-560). | Zbl | MR
[HKLR] , , and , Algebraic Constructions of Hyperköhler Manifolds (in press).
[H] , Remarks on Classical Invariant Theory, preprint. | MR | Zbl
[I] , Quaternion Köhlerian Manifolds (J. Differ. Geom., Vol. 4, 1974, pp. 483-500). | Zbl | MR
[K] , On the Topology of Hyperköhler Quotients, preprint.
[Ko] , Transformation Groups in Differential Geometry, Springer-Verlag, Berlin-Heidelberg-New York, 1972. | Zbl | MR
[KN] and , On Filtered Lie Algebras and Geometric Structures II (J. Math. Mech., Vol. 14, 1963, pp. 513-521). | Zbl | MR
[Kos] , A Formula for the Multiplicity of a Weight (Trans. Amer. Math. Soc., Vol. 93, 1959, pp. 53-73). | Zbl | MR
[Ku] , On the Principle of Uniformization (J. Differ. Geom., Vol. 13, 1978, pp. 109-138). | Zbl | MR
[L] , Sur le problème d'équivalence de certaines structures infinitésimales (Ann. Mat. Pura Appl., Vol. 36, 1954, pp. 27-120). | Zbl | MR
[M] , Sulle varietà a struttura quaternionale generalizzata (Rend. Mat., VI. Ser., Vol. 3, 1970, pp. 529-545). | Zbl | MR
[MR] and , Sui fibrati con struttura quaternionale generalizzata (Ann. Mat. Pura Appl., IV. Ser., Vol. 107, 1976, pp. 131-157). | Zbl | MR
[Ma] , Varietà a struttura quaternionale generalizzata (Atti Acad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Nat., Vol. 26, 1959, pp. 353-362). | Zbl | MR
[O] , Affine Connections on Manifolds with Almost Complex, Quaternionic or Hermitian Structure (Jap. J. Math., New Ser., Vol. 26, 1956, pp. 43-79). | Zbl | MR
[Oc] , Geometry Associated with Semisimple Flat Homogeneous Spaces (Trans. Amer. Math. Soc., Vol. 152, 1970, pp. 159-193). | Zbl | MR
[NN] and , Complex Analytic Coordinates in Almost Complex Manifolds (Ann. Math., II. Ser., Vol. 65, 1957, pp. 391-404). | Zbl | MR
[P] , 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] , Quaternionic Manifolds (Symp. Math., Vol. 26, 1982, pp. 139-151). | Zbl | MR
[S2] , Quaternionic Köhler Manifolds (Invent. Math., Vol. 67, 1982, pp. 143-171). | Zbl | MR | EuDML
[S3] , Quaternionic Structures and Twistor Space, in Global Riemannian Geometry, edited by T. J. WILLMORE and N. J. HITCHIN, Ellis Horwood, Chichester, 1984. | Zbl | MR
[S4] , Topics in Four-Dimensional Riemannian Geometry, in Geometry Seminar Luigi Bianchi (Lect. Notes in Math., 1022, Springer-Verlag, Berlin-Heidelberg - New York, 1983). | Zbl | MR
[So] , Quaternionic Manifolds (Math. Ann., Vol. 212, 1975, pp. 191-214). | Zbl | MR | EuDML
[SS] and , The Infinite Groups of Lie and Cartan I. The Transitive Groups (J. Analyse Math., Vol. 15, 1965, pp. 1-114). | Zbl | MR
[Z] , Compact Lie Groups and their Representations, Translations of Mathematical Monographs 40 (Amer. Math. Soc., Providence, 1973). | Zbl | MR
Cité par Sources :





