Matsumoto metrics of reversible curvature

Acta Mathematica Academiae Paedagogicae Nyíregyháziensis

A. Tayebi¹  T. Tabatabaeifar¹ 

[1] University of Qom and Amirkabir University

关键词: Ricci curvature;   

DOI  :  

学科分类：数学（综合）

来源: Academia Paedagogica Nyiregyhaziensis. Acta Mathematica

【 摘 要 】

In this paper, we study the reversibility of Riemann curvature and Ricci curvature for the Matsumoto metric and prove three global results. First, we prove that a Matsumoto metric is R-reversible if and only if it is R-quadratic. Then we show that a Matsumoto metric is Ricci-reversible if and only if it is Ricci-quadratic. Finally, we prove that every weakly Einstein Matsumoto metric is Ricci-reversible.

【 授权许可】

Unknown