Flats and Submersions in Non-Negative Curvature

Details Flats and Submersions in Non-Negative Curvature Flats and Submersions in Non-Negative Curvature

2011-04-27

arxiv.org/abs/1104.5252v3

Mathematics

Differential Geometry

10 pages

Scientific paper

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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