On projectively related randers metrics

被引：11

作者：

Shen, Yibing ^{[1
]}

Yu, Yaoyong ^{[1
]}

机构：

[1] Zhejiang Univ, Dept Math, Hangzhou 310027, Peoples R China

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS | 2008年 / 19卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Randers metric; projectively related; Douglas tensor; projectively flat;

D O I：

10.1142/S0129167X08004789

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove that two Randers metrics are pointwise projectively related if and only if they have the same Douglas tensors and the corresponding Riemannian metrics are projectively related. Moreover, Randers metrics of constant flag curvature and Einstein-Randers metrics are considered.

引用

页码：503 / 520

页数：18

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