On a class of Einstein Finsler metrics-Reference-Cited by-同舟云学术

On a class of Einstein Finsler metrics

Published:2014-04 Issue:04 Volume:25 Page:1450030
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

Shen Zhongmin¹,Yu Changtao²

Affiliation:

1. Department of Mathematical Sciences, Indiana University-Purdue University, Indianapolis, IN 46202-3216, USA

2. School of Mathematical Sciences, South China Normal University, Guangzhou 510631, P. R. China

Abstract

In this paper, we study Finsler metrics expressed in terms of a Riemannian metric, an 1-form, and its norm. We find equations which are sufficient conditions for such Finsler metrics to have constant Ricci curvature. Using certain transformations, we successfully solve these equations and hence construct a large class of Einstein metrics.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X1450030X

Reference9 articles.

1. Mathematical Sciences Research Institute Publications Series;Bao D.,2004

2. On a class of Ricci-flat Finsler metrics in Finsler geometry

3. A class of Einstein (α, β)-metrics

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