Riemannian submersions from simple, compact Lie groups
Differential Geometry
2009-10-23 v1
Abstract
In this paper we construct infinitely many examples of a Riemannian submersion from a simple, compact Lie group with bi-invariant metric onto a smooth manifold that cannot be a quotient of by a group action. This partially addresses a question of K. Grove's about Riemannian submersions from Lie groups.
Keywords
Cite
@article{arxiv.0910.4344,
title = {Riemannian submersions from simple, compact Lie groups},
author = {Martin Kerin and Krishnan Shankar},
journal= {arXiv preprint arXiv:0910.4344},
year = {2009}
}
Comments
16 pages. Dedicated to J.-H. Eschenburg on the occasion of his 60th birthday