ON A CLASS OF FINSLER METRICS WITH ISOTROPIC BERWALD CURVATURE

被引：6
|
作者：
Zhu, Hongmei [1 ]
机构：
[1] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Peoples R China
来源：
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2017年 / 54卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Finsler metric; general; (alpha; beta)-metric; isotropic Berwald curvature; S-curvature; CONSTANT FLAG CURVATURE; S-CURVATURE; BETA)-METRICS; MANIFOLDS; (ALPHA;
D O I：
10.4134/BKMS.b150784
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study a class of Finsler metrics called general (alpha, beta)-metrics, which are defined by a Riemannian metric alpha and a 1 form beta. We show that every general (alpha,beta)-metric with isotropic Berwald curvature is either a Berwald metric or a Randers metric. Moreover, a lot of new isotropic Berwald general (alpha,beta)-metrics are constructed explicitly.
引用
收藏
页码：399 / 416
页数：18
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