On general (α, β)-metrics with isotropic S-curvature

被引：13
|
作者：
Zhu, Hongmei [1 ]
机构：
[1] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2018年 / 464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 S-curvature; SYMMETRIC FINSLER METRICS; FLAG CURVATURE; MANIFOLDS; GEOMETRY;
D O I：
10.1016/j.jmaa.2018.04.049
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The S-curvature is an important non-Riemannian quantity in Finsler geometry. In this paper. we study a class of Finsler metrics called general (alpha, beta)-metrics, which are defined by a Riemannian metric a and a 1-form beta. We characterize all of general (alpha, beta)-metrics with isotropic S-curvature. (C) 2018 Elsevier Inc. All rights reserved.
引用
收藏
页码：1127 / 1142
页数：16
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