November 7, 2022Open Access

Compact geodesic orbit spaces with a simple isotropy group

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Abstract

Abstract Let M=G/H M = G / H be a compact, simply connected, Riemannian homogeneous space, where G is (almost) effective and H is a simple Lie group. In this paper, we first classify all G -naturally reductive metrics on M, and then all G -geodesic orbit metrics on M.

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Chen et al. (Mon,) studied this question.

synapsesocial.com/papers/6a1bee1f4ebd09f3dfa93844 https://doi.org/https://doi.org/10.1007/s10455-022-09877-7

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