Holonomy, Ricci tensor and Killing vector fields
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- Proc. Amer. Math. Soc. 12 (1961), 594-597 Request permission
References
- S. Bochner, Vector fields and Ricci curvature, Bull. Amer. Math. Soc. 52 (1946), 776–797. MR 18022, DOI 10.1090/S0002-9904-1946-08647-4
- Bertram Kostant, Holonomy and the Lie algebra of infinitesimal motions of a Riemannian manifold, Trans. Amer. Math. Soc. 80 (1955), 528–542. MR 84825, DOI 10.1090/S0002-9947-1955-0084825-8
- André Lichnerowicz, Espaces homogènes kählériens, Géométrie différentielle. Colloques Internationaux du Centre National de la Recherche Scientifique, Strasbourg, 1953, Centre National de la Recherche Scientifique, Paris, 1953, pp. 171–184 (French). MR 0066017
- Georges de Rham, Sur la reductibilité d’un espace de Riemann, Comment. Math. Helv. 26 (1952), 328–344 (French). MR 52177, DOI 10.1007/BF02564308
Additional Information
- © Copyright 1961 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 12 (1961), 594-597
- MSC: Primary 53.72
- DOI: https://doi.org/10.1090/S0002-9939-1961-0131247-5
- MathSciNet review: 0131247