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arXiv:1212.3893 [math.DG]AbstractReferencesReviewsResources

A sufficient condition for congruency of orbits of Lie groups and some applications

Akira Kubo, Hiroshi Tamaru

Published 2012-12-17Version 1

We give a sufficient condition for isometric actions to have the congruency of orbits, that is, all orbits are isometrically congruent to each other. As applications, we give simple and unified proofs for some known congruence results, and also provide new examples of isometric actions on symmetric spaces of noncompact type which have the congruency of orbits.

Comments: 6 pages
Categories: math.DG
Subjects: 57S20, 53C40, 53C35
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