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Flats and Submersions in Non-Negative Curvature

By Curtis Pro and Frederick Wilhelm

Abstract

We find constraints on the extent to which O'Neill's horizontal curvature equation can be used to create positive curvature on the base space of a Riemannian submersion. In particular, we study when K. Tapp's theorem on Riemannian submersions of compact Lie groups with bi-invariant metrics generalizes to arbitrary manifolds of non-negative curvature.Comment: 10 page

Topics: Mathematics - Differential Geometry, 53C20
Year: 2012
OAI identifier: oai:arXiv.org:1104.5252
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