On Finsler metrics with vanishing S-curvature

被引：3

作者：

Tayabi, Akbar ^{[1
]}

Sadeghi, Hassan ^{[1
]}

Peyghan, Esmaeil ^{[2
]}

机构：

[1] Univ Qom, Fac Sci, Dept Math, Qom, Iran

[2] Arak Univ, Fac Sci, Dept Math, Arak 3815688349, Iran

来源：

TURKISH JOURNAL OF MATHEMATICS | 2014年 / 38卷 / 01期

关键词：

(alpha; beta)-metric; Berwald metric; S-curvature; BERWALD METRICS; GEOMETRY; SPACES;

D O I：

10.3906/mat-1210-60

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider Finsler metrics defined by a Riemannian metric and a 1-form on a manifold. We study these metrics with vanishing S-curvature. We find some conditions under which such a Finsler metric is Berwaldian or locally Minkowskian.

引用

页码：154 / 165

页数：12

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