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arXiv:2302.14810 [math.DG]AbstractReferencesReviewsResources

The geometry of Riemannian submersions from compact Lie groups. Application to flag manifolds

Dimbihery Rabenoro, Xavier Pennec

Published 2023-02-28Version 1

We study the geometry of Riemannian manifolds of finite dimension which are isometric to a quotient of a compact Lie group endowed with the quotient of a bi-invariant metric. Then, we apply the results obtained to enlight the geometry of flag manifolds.

Categories: math.DG
Subjects: 53C30, 14M15
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