Mappings with maximal rank

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Let Pi: M -> B be an onto maximal rank map or a Riemannian submersion between Riemannian manifolds M and B. Initially, we prove necessary and sufficient conditions for any fiber F to be roughly isometric to M. Then, we prove necessary and sufficient conditions for Pi to be a rough isometry. As a corollary M is roughly isometric to FxB.
25 pages, 7 figures

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Differential Geometry, 53C20

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http://salesiana.dossiersoluciones.com/handle/123456789/113020

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0606091
 http://arxiv.org/abs/math/0606091

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arXiv