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Preprints, Working Papers, ... Year : 2023

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

Abstract

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.
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hal-04232479 , version 1 (08-10-2023)

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Dimbihery Rabenoro, Xavier Pennec. The geometry of Riemannian submersions from compact Lie groups. Application to flag manifolds. 2023. ⟨hal-04232479⟩
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