Flats and Submersions in Non-Negative Curvature

Curtis Pro; Frederick Wilhelm

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arXiv · 1104.5252

Flats and Submersions in Non-Negative Curvature

Curtis Pro·Frederick Wilhelm

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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.

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Curtis Pro, Frederick Wilhelm. 2011-04-27. Flats and Submersions in Non-Negative Curvature. https://arxiv.org/abs/1104.5252

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