Compact geodesic orbit spaces with a simple isotropy group

Z. Chen; Y. Nikolayevsky; Yu. Nikonorov

doi:10.1007/s10455-022-09877-7

Compact geodesic orbit spaces with a simple isotropy group

Differential Geometry 2023-11-28 v3

Authors: Z. Chen , Y. Nikolayevsky , Yu. Nikonorov

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Abstract

Let $M=G/H$ 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 $M$ .

Keywords

geodesics and riemannian geometry nilpotent orbits holonomy

Cite

@article{arxiv.2009.06329,
  title  = {Compact geodesic orbit spaces with a simple isotropy group},
  author = {Z. Chen and Y. Nikolayevsky and Yu. Nikonorov},
  journal= {arXiv preprint arXiv:2009.06329},
  year   = {2023}
}

Comments

37 pages

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