On sectional curvatures and characteristic of homogeneous spaces
HTML articles powered by AMS MathViewer
- by Werner Greub and Philippe Tondeur PDF
- Proc. Amer. Math. Soc. 17 (1966), 444-448 Request permission
References
- Shiing-shen Chern, A simple intrinsic proof of the Gauss-Bonnet formula for closed Riemannian manifolds, Ann. of Math. (2) 45 (1944), 747–752. MR 11027, DOI 10.2307/1969302
- Shiing-shen Chern, On curvature and characteristic classes of a Riemann manifold, Abh. Math. Sem. Univ. Hamburg 20 (1955), 117–126. MR 75647, DOI 10.1007/BF02960745
- H. Hopf and H. Samelson, Ein Satz über die Wirkungsräume geschlossener Liescher Gruppen, Comment. Math. Helv. 13 (1941), 240–251 (German). MR 6546, DOI 10.1007/BF01378063 A. Lichnerowicz, Géométrie des groupes de transformations, Dunod, Paris, 1958.
- Katsumi Nomizu, Invariant affine connections on homogeneous spaces, Amer. J. Math. 76 (1954), 33–65. MR 59050, DOI 10.2307/2372398
- Hans Samelson, On curvature and characteristic of homogeneous spaces, Michigan Math. J. 5 (1958), 13–18. MR 103509
- John A. Thorpe, Sectional curvatures and characteristic classes, Ann. of Math. (2) 80 (1964), 429–443. MR 170308, DOI 10.2307/1970657
Additional Information
- © Copyright 1966 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 17 (1966), 444-448
- MSC: Primary 53.66; Secondary 22.70
- DOI: https://doi.org/10.1090/S0002-9939-1966-0188942-6
- MathSciNet review: 0188942