New Einstein-Randers metrics on certain homogeneous manifolds arising from the generalized Wallach spaces

Abstract

In this article, we find several new non-Riemannian Einstein-Randers metrics on some homogeneous manifolds arising from the generalized Wallach spaces. We first prove the existence of Riemannian Einstein metrics on these homogeneous manifolds. Based on these metrics, we prove that there exist non-Riemannian Einstein-Randers metrics on these homogeneous manifolds.

Keywords

• riemannian einstein metrics
• einstein-randers metrics
• finsler manifolds
• homogeneous manifolds
• the generalized wallach spaces