Riemannian submersions from simple, compact Lie groups

Details Riemannian submersions from simple, compact Lie groups Riemannian submersions from simple, compact Lie groups

2009-10-22

arxiv.org/abs/0910.4344v1

Mathematics

Differential Geometry

16 pages. Dedicated to J.-H. Eschenburg on the occasion of his 60th birthday

Scientific paper

In this paper we construct infinitely many examples of a Riemannian
submersion from a simple, compact Lie group $G$ with bi-invariant metric onto a
smooth manifold that cannot be a quotient of $G$ by a group action. This
partially addresses a question of K. Grove's about Riemannian submersions from
Lie groups.

Affiliated with

Also associated with

No associations

Rating

Riemannian submersions from simple, compact Lie groups does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Riemannian submersions from simple, compact Lie groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Riemannian submersions from simple, compact Lie groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-690976