ON EINSTEIN (α,β)-METRICS

被引：0
|
作者：
Rezaei, B. [1 ]
Razavi, A. [1 ]
Sadeghzadeh, N. [1 ]
机构：
[1] Amir Kabir Univ, Dept Math & Comp Sci, Tehran, Iran
来源：
IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE | 2007年 / 31卷 / A4期
关键词：
Einstein Finsler metrics; (alpha; beta)-metrics; Schur lemma;
D O I：
暂无
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper we consider some (alpha,beta) -metrics such as generalized Kropina, Matsumoto and F=(alpha+beta)(2)/alpha metrics, and obtain necessary and sufficient conditions for them to be Einstein metrics when beta is a constant Killing form. Then we prove with this assumption that the mentioned Einstein metrics must be Riemannian or Ricci flat.
引用
收藏
页码：403 / 412
页数：10
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