Projectively flat Randers metrics with constant flag curvature

被引:79
作者
Shen, ZM [1 ]
机构
[1] Indiana Univ Purdue Univ, Dept Math, Indianapolis, IN 46202 USA
关键词
Ricci Curvature; Flag Curvature; Randers Metrics; Constant Flag Curvature; Constant Ricci Curvature;
D O I
10.1007/s00208-002-0361-1
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We classify locally projectively flat Randers metrics with constant Ricci curvature and obtain a new family of Randers metrics of negative constant flag curvature.
引用
收藏
页码:19 / 30
页数:12
相关论文
共 18 条
[1]  
AKBARZADEH H, 1988, B ACAD ROY BEL S, V84, P281
[2]  
[Anonymous], 1996, FINSLER GEOMETRY
[3]  
Antonelli P. L., 1993, FTPH
[4]  
BAO D, IN PRESS J LONDON MA
[5]  
BAO D, IN PRESS RANDERS MET
[6]  
Bao D., 2000, An Introduction to Riemann-Finsler Geometry, V200
[8]  
BRYANT R., 1997, Selecta Mathematica, V3, P161
[9]  
Bryant RL, 2002, HOUSTON J MATH, V28, P221
[10]  
Hashiguchi M., 1980, REP FAC SCI KAGOSHIM, V13, P33