具有简单各向同性群的紧致测地线轨道空间

IF 0.6 3区数学 Q3 MATHEMATICS

Annals of Global Analysis and Geometry Pub Date : 2022-11-07 DOI:10.1007/s10455-022-09877-7

Z. Chen, Y. Nikolayevsky, Yu Nikonorov

引用次数: 6

摘要

设\（M=G/H\）是紧致的单连通黎曼齐次空间，其中G（几乎）有效，H是单李群。本文首先对M上的所有G-自然归约度量进行分类，然后对M上所有G-测地轨道度量进行分类。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Compact geodesic orbit spaces with a simple isotropy group

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.

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来源期刊

Annals of Global Analysis and Geometry 数学-数学

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal examines global problems of geometry and analysis as well as the interactions between these fields and their application to problems of theoretical physics. It contributes to an enlargement of the international exchange of research results in the field. The areas covered in Annals of Global Analysis and Geometry include: global analysis, differential geometry, complex manifolds and related results from complex analysis and algebraic geometry, Lie groups, Lie transformation groups and harmonic analysis, variational calculus, applications of differential geometry and global analysis to problems of theoretical physics.