Topology of quaternionic manifolds
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References
- Marcel Berger, Sur les groupes d’holonomie homogène des variétés à connexion affine et des variétés riemanniennes, Bull. Soc. Math. France 83 (1955), 279–330 (French). MR 79806
- Shiing-shen Chern, On a generalization of Kähler geometry, Algebraic geometry and topology. A symposium in honor of S. Lefschetz, Princeton University Press, Princeton, N.J., 1957, pp. 103–121. MR 0087172
- S. S. Chern, Complex manifolds, Textos de Matemática, No. 5, Universidade do Recife, Instituto de Física e Matemática, Recife, 1959. MR 0111055 C. Chevalley, Lie groups, Princeton Univ. Press, Princeton, N. J., 1946.
- Sigurđur Helgason, Differential geometry and symmetric spaces, Pure and Applied Mathematics, Vol. XII, Academic Press, New York-London, 1962. MR 0145455
- W. V. D. Hodge, The theory and applications of harmonic integrals, Cambridge, at the University Press, 1952. 2d ed. MR 0051571
- Wilhelm Klingenberg, Manifolds with restricted conjugate locus, Ann. of Math. (2) 78 (1963), 527–547. MR 159289, DOI 10.2307/1970539
- Wilhelm Klingenberg, Manifolds with restricted conjugate locus. II, Ann. of Math. (2) 80 (1964), 330–339. MR 165467, DOI 10.2307/1970395
- Shoshichi Kobayashi, Topology of positively pinched Kaehler manifolds, Tohoku Math. J. (2) 15 (1963), 121–139. MR 154235, DOI 10.2748/tmj/1178243839
- Shoshichi Kobayashi and Katsumi Nomizu, Foundations of differential geometry. Vol I, Interscience Publishers (a division of John Wiley & Sons, Inc.), New York-London, 1963. MR 0152974
- Katsumi Nomizu, Invariant affine connections on homogeneous spaces, Amer. J. Math. 76 (1954), 33–65. MR 59050, DOI 10.2307/2372398
- James Simons, On the transitivity of holonomy systems, Ann. of Math. (2) 76 (1962), 213–234. MR 148010, DOI 10.2307/1970273
- André Weil, Introduction à l’étude des variétés kählériennes, Publications de l’Institut de Mathématique de l’Université de Nancago, VI. Actualités Sci. Ind. no. 1267, Hermann, Paris, 1958 (French). MR 0111056 —, Théorème fondamental de Chern en géométrie riemannienne, Séminaire Bourbaki, 14e année, 1961/1962, No. 239.
Additional Information
- © Copyright 1966 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 122 (1966), 357-367
- MSC: Primary 53.80; Secondary 57.31
- DOI: https://doi.org/10.1090/S0002-9947-1966-0192513-X
- MathSciNet review: 0192513