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Riemannian submersions from simple, compact Lie groups

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.

Titel: Riemannian submersions from simple, compact Lie groups
Verfasser: Kerin, Martin
Shankar, Krishnan
Organisation: FB 10: Mathematik und Informatik
Dokumenttyp: Artikel
Medientyp: Text
Erscheinungsdatum: 2012
Publikation in MIAMI: 23.10.2012
Datum der letzten Änderung: 07.05.2015
Zeitschrift/Periodikum: Münster Journal of Mathematics / 5 (2012), S. 25 - 40
Fachgebiete: Mathematik
Sprache: Englisch
Format: PDF-Dokument
URN: urn:nbn:de:hbz:6-88399597541
Permalink: https://nbn-resolving.org/urn:nbn:de:hbz:6-88399597541
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