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arXiv:math/0606091 [math.DG]AbstractReferencesReviewsResources

Mappings with maximal rank

C. Abreu-Suzuki

Published 2006-06-04Version 1

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.

Comments: 25 pages, 7 figures
Categories: math.DG
Subjects: 53C20
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