On homogeneous Finsler spaces

被引：18

作者：

Latifi, Dariush ^{[1
]}

Razavi, Asadollah ^{[1
]}

机构：

[1] Amirkabir Univ Technol, Fac Math & Comp Sci, Tehran 15914, Iran

来源：

REPORTS ON MATHEMATICAL PHYSICS | 2006年 / 57卷 / 03期

关键词：

Finsler homogeneous space; symmetric space; forward completeness; Randers space; flag curvature;

D O I：

10.1016/S0034-4877(06)80026-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper we study homogeneous Finsler spaces and show that they are forward complete. As a special case we consider homogeneous Randers spaces and show that if these spaces have constant flag curvature then the underlying Riemannian space is locally symmetric. Also we extend some of classical results in Riemannian homogeneous spaces to those in homogeneous Finsler spaces.

引用

页码：357 / 366

页数：10

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