Invariant Finsler metrics on homogeneous manifolds

被引：64

作者：

Deng, SQ ^{[1
]}

Hou, ZX

机构：

[1] Nankai Univ, Sch Math, Tianjin 300071, Peoples R China

[2] Nankai Univ, LPMC, Tianjin 300071, Peoples R China

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2004年 / 37卷 / 34期

关键词：

D O I：

10.1088/0305-4470/37/34/004

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we study invariant Finsler metrics on homogeneous manifolds. We first give an algebraic description of these metrics and obtain a necessary and sufficient condition for a homogeneous manifold to have invariant Finsler metrics. As a special case, we study bi-invariant Finsler metrics on Lie groups and obtain a necessary and sufficient condition for a Lie group to have bi-invariant Finsler metrics. Finally, we provide some conditions for a homogeneous manifold to admit invariant non-Riemannian Finsler metrics and present some interesting examples.

引用

页码：8245 / 8253

页数：9

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