On a class of weakly Einstein Finsler metrics

被引：0
|
作者：
Zhongmin Shen
Guojun Yang
机构：
[1] Indiana University-Purdue University Indianapolis (IUPUI),Department of Mathematical Sciences
[2] Sichuan University,Department of Mathematics
来源：
Israel Journal of Mathematics | 2014年 / 199卷
关键词：
Scalar Function; Ricc Curvature; Finsler Space; Constant Sectional Curvature; Finsler Geometry;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we study a special class of Finsler metrics—m-Kropina metrics which are defined by a Riemannian metric and a 1-form. We prove that a weakly Einstein m-Kropina metric must be Einsteinian. Further, we characterize Einstein m-Kropina metrics in very simple conditions under a suitable deformation, and obtain the local structures of m-Kropina metrics which are of constant flag curvature and locally projectively flat with constant flag curvature respectively.
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页码：773 / 790
页数：17
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