A Note on Randers Metrics of Scalar Flag Curvature

被引：12
|
作者：
Chen, Bin [1 ]
Zhao, Lili [2 ]
机构：
[1] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China
[2] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China
来源：
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2012年 / 55卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Randers metrics; scalar flag curvature; MANIFOLDS;
D O I：
10.4153/CMB-2011-092-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Some families of Randers metrics of scalar flag curvature are studied in this paper. Explicit examples that are neither locally projectively flat nor of isotropic S-curvature are given. Certain Randers metrics with Einstein alpha are considered and proved to be complex. Three dimensional Randers manifolds, with alpha having constant scalar curvature, are studied.
引用
收藏
页码：474 / 486
页数：13
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