Concepedia

Sufficient conditions for a bundle-like foliation to admit a Riemannian submersion onto its leaf space

Richard H. Escobales

Proceedings of the American Mathematical Society · 1982 · 10 citations · 8 references

DOI

Concepts

Abstract

This note furnishes a necessary and sufficient condition for a bundlelike foliation to be defined globally by a Riemannian submersion.

References

8

The fundamental equations of a submersion.

Barrett O’Neill · The Michigan Mathematical Journal · 1966 · 1.2K citations · Full text

, , +12

A global formulation of the Lie theory of transformation groups

Richard S. Palais · Memoirs of the American Mathematical Society · 1957 · 568 citations

, , +14

Foliated Manifolds with Bundle-Like Metrics

Bruce L. Reinhart · Annals of Mathematics · 1959 · 405 citations

, , +10

A sufficient condition that a mapping of Riemannian manifolds be a fibre bundle

Róbert Hermann · Proceedings of the American Mathematical Society · 1960 · 157 citations · Full text

, , +10

Foliations

H. Blaine Lawson · Bulletin of the American Mathematical Society · 1974 · 137 citations · Full text

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