A sufficient condition that a mapping of Riemannian manifolds be a fibre bundle
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- by Robert Hermann
- Proc. Amer. Math. Soc. 11 (1960), 236-242
- DOI: https://doi.org/10.1090/S0002-9939-1960-0112151-4
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References
- R. Bott, An application of the Morse theory to the topology of Lie groups, Bull. Soc. Math. France vol. 4 (1956) pp. 251-281.
E. Cartan, Géométrie des espaces de Riemann, Paris, Gauthier-Villars, 1946.
C. Chevalley, Theory of Lie groups, I, Princeton, 1946.
C. Ehresmann, Les connexions infinitésimales dans un espace fibré différentiable, Colloque de Topologie, Bruxelles, 1950, pp. 29-55.
S. Kobayashi, On connections of Cartan, Canad. J. Math. vol. 8 (1956) pp. 145-156.
R. Lashof, Classification of fibre bundles by the loop space of the base, Ann. of Math. vol. 64 (1956) pp. 436-446.
B. Reinhart, Foliated manifolds with bundle-like metrics, Ann. of Math. vol. 69 (1959) pp. 119-131.
N. Steenrod, Topology of fibre bundles, Princeton Mathematical Series, vol. 14, Princeton, 1951.
Bibliographic Information
- © Copyright 1960 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 11 (1960), 236-242
- MSC: Primary 57.00; Secondary 53.00
- DOI: https://doi.org/10.1090/S0002-9939-1960-0112151-4
- MathSciNet review: 0112151