Finsler metrics of scalar flag curvature with special non-Riemannian curvature properties

被引：67
|
作者：
Najafi, B.
Shen, Z. [1 ,2 ]
Tayebi, A. [3 ]
机构：
[1] Indiana Univ Purdue Univ, Dept Math Sci, Indianapolis, IN 46202 USA
[2] Shahed Univ Tehran, Dept Math, Tehran 18151159, Iran
[3] Univ Qom, Fac Sci, Dept Math, Qom, Iran
来源：
GEOMETRIAE DEDICATA | 2008年 / 131卷 / 01期
基金：
中国国家自然科学基金; 美国国家科学基金会;
关键词：
Finsler metric; flag curvature; non-Riemannian quantity;
D O I：
10.1007/s10711-007-9218-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study Finsler metrics of scalar flag curvature. We find that a non-Riemannian quantity is closely related to the flag curvature. We show that the flag curvature is weakly isotropic if and only if this non-Riemannian quantity takes a special form. This will lead to a better understanding on Finsler metrics of scalar flag curvature.
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页码：87 / 97
页数：11
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