Generalized Berwald metrics

被引：6
|
作者：
Peyghan, Esmaeil [1 ]
Tayebi, Akbar [2 ]
机构：
[1] Arak Univ, Dept Math, Fac Sci, Arak 3815688349, Iran
[2] Qom Univ, Dept Math, Fac Sci, Qom, Iran
来源：
TURKISH JOURNAL OF MATHEMATICS | 2012年 / 36卷 / 03期
关键词：
Berwald metric; landsberg metric; randers metric; CURVATURE PROPERTIES; FINSLER METRICS; CONNECTIONS;
D O I：
10.3906/mat-1003-221
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we consider a class of Finsler metrics called generalized Berwald metrics which contains the class of Berwald metrics as a special case. We prove that every generalized Berwald metrics with non-zero scalar flag curvature or isotropic Berwald curvature is a Randers metric. Then we prove that on generalized Berwald metrics, the notions of generalized Landsberg and Landsberg curvatures are equivalent.
引用
收藏
页码：475 / 484
页数：10
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