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Riemannian submersions from simple, compact Lie groups

Kerin, Martin and Shankar, Krishnan (2012) 'Riemannian submersions from simple, compact Lie groups.', Münster Journal of Mathematics, 5 (1). pp. 25-40.

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.

Item Type:Article
Full text:(AM) Accepted Manuscript
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Status:Peer-reviewed
Publisher Web site:https://www.uni-muenster.de/FB10/mjm/vol5.html
Date accepted:29 September 2011
Date deposited:18 November 2022
Date of first online publication:30 March 2012
Date first made open access:18 November 2022

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