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arXiv · 1601.07763

Hurewicz fibrations, almost submetries and critical points of smooth maps

S. L. Cacciatori·S. Pigola
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Abstract

We prove that the existence of a Hurewicz fibration between certain spaces with the homotopy type of a CW-complex implies some topological restrictions on their universal coverings. This result is used to deduce differentiable and metric properties of maps between compact Riemannian manifolds under curvature restrictions.

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S. L. Cacciatori, S. Pigola. 2016-01-28. Hurewicz fibrations, almost submetries and critical points of smooth maps. https://arxiv.org/abs/1601.07763

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