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Mappings with maximal rank

C. Abreu-Suzuki
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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.

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C. Abreu-Suzuki. 2006-06-04. Mappings with maximal rank. https://arxiv.org/abs/math/0606091

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