On a class of Ricci-flat Finsler metrics in Finsler geometry

被引：7
|
作者：
Chen, Bin [1 ]
Shen, Zhongmin [2 ]
Zhao, Lili [3 ]
机构：
[1] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China
[2] Indiana Univ Purdue Univ, Dept Math Sci, Indianapolis, IN 46202 USA
[3] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2013年 / 70卷
基金：
中国国家自然科学基金;
关键词：
Square metrics; Einstein-Douglas; Warped product; (ALPHA; BETA)-METRICS;
D O I：
10.1016/j.geomphys.2013.03.009
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study a class of Finsler metrics defined by a Riemannian metric and a one-form on a manifold. We completely determine the local structure of Ricci-flat metrics in this class which are also of Douglas type. (C) 2013 Elsevier B.V. All rights reserved.
引用
收藏
页码：30 / 38
页数：9
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