Mappings with maximal rank

Details Mappings with maximal rank Mappings with maximal rank

2006-06-04

arxiv.org/abs/math/0606091v1

Mathematics

Differential Geometry

25 pages, 7 figures

Scientific paper

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.

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