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A sufficient condition that a mapping of Riemannian manifolds be a fibre bundle. (English) Zbl 0112.13701

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[1] R. Bott, An application of the Morse theory to the topology of Lie groups, Bull. Soc. Math. France vol. 4 (1956) pp. 251-281. · Zbl 0073.40001
[2] E. Cartan, Géométrie des espaces de Riemann, Paris, Gauthier-Villars, 1946. · Zbl 0060.38101
[3] C. Chevalley, Theory of Lie groups, I, Princeton, 1946. · Zbl 0063.00842
[4] C. Ehresmann, Les connexions infinitésimales dans un espace fibré différentiable, Colloque de Topologie, Bruxelles, 1950, pp. 29-55.
[5] S. Kobayashi, On connections of Cartan, Canad. J. Math. vol. 8 (1956) pp. 145-156. · Zbl 0075.31502
[6] R. Lashof, Classification of fibre bundles by the loop space of the base, Ann. of Math. vol. 64 (1956) pp. 436-446. · Zbl 0075.32102
[7] B. Reinhart, Foliated manifolds with bundle-like metrics, Ann. of Math. vol. 69 (1959) pp. 119-131. · Zbl 0122.16604
[8] N. Steenrod, Topology of fibre bundles, Princeton Mathematical Series, vol. 14, Princeton, 1951. · Zbl 0054.07103
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