Flats in Riemannian Submersions from Lie Groups
Differential Geometry
2007-05-23 v1 Metric Geometry
Abstract
We prove that any base space of Riemannian submersion from a compact Lie group (with bi-invariant metric) must have a basic property previously known for normal biquotients; namely, any zero-curvature plane exponentiates to a flat.
Cite
@article{arxiv.math/0703389,
title = {Flats in Riemannian Submersions from Lie Groups},
author = {Kristopher Tapp},
journal= {arXiv preprint arXiv:math/0703389},
year = {2007}
}