A class of Finsler metrics projectively related to a Randers metric

被引：1
|
作者：
Chen, Guangzu [1 ]
Cheng, Xinyue [2 ]
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
[2] Chongqing Univ Technol, Sch Math & Stat, Chongqing 400054, Peoples R China
来源：
PUBLICATIONES MATHEMATICAE-DEBRECEN | 2012年 / 81卷 / 3-4期
基金：
中国国家自然科学基金;
关键词：
Finsler metric; (alpha; beta)-metric; Randers metric; Douglas tensor; Berwald metric;
D O I：
10.5486/PMD.2012.5211
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we prove that the (alpha, beta)-metrics in the form F = (alpha+beta)(p)/alpha(p-1)(p not equal 1, 2) are projectively related to a Randers metric (F) over bar = (alpha) over bar + (beta) over bar on a manifold of dimension n (n >= 3) if and only if F is Berwald metric and (F) over bar is Douglas metric and the corresponding Riemannian metrics alpha and (alpha) over bar are projectively related.
引用
收藏
页码：351 / 363
页数：13
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