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.

Cacciatori, S., Pigola, S. (2017). Hurewicz fibrations, almost submetries and critical points of smooth maps. FORUM MATHEMATICUM, 29(4), 751-760 [10.1515/forum-2016-0009].

Hurewicz fibrations, almost submetries and critical points of smooth maps

PIGOLA, STEFANO
2017

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.
Articolo in rivista - Articolo scientifico
Hurewicz fibration, almost submetry, critical point;
Hurewicz bration, almost submetry, critical points
English
2017
29
4
751
760
reserved
Cacciatori, S., Pigola, S. (2017). Hurewicz fibrations, almost submetries and critical points of smooth maps. FORUM MATHEMATICUM, 29(4), 751-760 [10.1515/forum-2016-0009].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/271364
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