Einstein-Randers Metrics on Homogeneous Spaces Arising from Generalized Wallach Spaces

Abstract

In this paper, we focus on Einstein metrics and Einstein-Randers metrics on homogeneous spaces G/H which are arising from generalized Wallach spaces G/K. In fact, we study a special kind of G-invariant metrics on G/H which is determined by Ad(K)-invariant inner products on the tangent space of G/H, and then obtain new Einstein metrics on G/H. Furthermore, based on these Einstein metrics, we construct new Einstein-Randers metrics on G/H.

Keywords

Einstein-Randers metric / Finsler manifold / homogeneous space / generalized Wallach space / 53C25 / 53C30

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