Mappings with maximal rank
Differential Geometry
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.math/0606091,
title = {Mappings with maximal rank},
author = {C. Abreu-Suzuki},
journal= {arXiv preprint arXiv:math/0606091},
year = {2007}
}
Comments
25 pages, 7 figures