Finsler metrics with constant (or scalar) flag curvature

被引：0
|
作者：
Mo Xiao-huan [1 ]
机构：
[1] Peking Univ, Sch Math Sci, Key Lab Pure & Appl Math, Beijing 100871, Peoples R China
来源：
APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B | 2012年 / 27卷 / 01期
基金：
中国国家自然科学基金; 高等学校博士学科点专项科研基金;
关键词：
Finsler metric; scalar curvature; weakly isotropic flag curvature; RANDERS METRICS;
D O I：
10.1007/s11766-012-2711-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A Finsler metric on a manifold M with its flag curvature K is said to be almost isotropic flag curvature if K = 3A < + sigma where sigma and c are scalar functions on M. In this paper, we establish the intrinsic relation between scalar functions c(x) and sigma(x). More general, by invoking the Ricci identities for a one form, we investigate Finsler metric of weakly isotropic flag curvature K = 3 theta/F + sigma and show that F has constant flag curvature if theta is horizontally parallel.
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页码：1 / 8
页数：8
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