Riemannian submersions from simple, compact Lie groups

Kerin, Martin; Shankar, Krishnan

Abstract

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.

Citation

Kerin, M., & Shankar, K. (2012). Riemannian submersions from simple, compact Lie groups. Münster journal of mathematics (Internet), 5(1), 25-40

• Journal Article Type: Article
• Acceptance Date: Sep 29, 2011
• Online Publication Date: Mar 30, 2012
• Publication Date: 2012
• Deposit Date: Nov 15, 2022
• Publicly Available Date: Nov 18, 2022
• Journal: Münster Journal of Mathematics
• Print ISSN: 1867-5778
• Electronic ISSN: 1867-5786
• Publisher: Mathematical Institutes of the Universität Münster
• Peer Reviewed: Peer Reviewed
• Volume: 5
• Issue: 1
• Pages: 25-40
• Public URL: https://durham-repository.worktribe.com/output/1185517
• Publisher URL: https://www.uni-muenster.de/FB10/mjm/vol5.html