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Compact geodesic orbit spaces with a simple isotropy group

journal contribution
posted on 2025-02-24, 04:59 authored by Z Chen, Yuri NikolayevskyYuri Nikolayevsky, Y Nikonorov
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.

Funding

This work was supported by National Natural Science Foundation of China (11931009) and Natural Science Foundation of Tianjin (19JCYBJC30600). The second author was partially supported by the Australian Research Council Discovery Grant DP210100951.

History

Publication Date

2023-02-01

Journal

Annals of Global Analysis and Geometry

Volume

63

Article Number

7

Pagination

34p.

Publisher

Springer

ISSN

0232-704X

Rights Statement

© The Author(s) 2022. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit: http://creativecommons.org/licenses/by/4.0/

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