Einstein--Randers metrics on compact simple Lie groups

Xiaosheng Li                <meta name=

2020/97/1-2 (9) — DOI: 10.5486/PMD.2020.8765 — pp. 149-160

Einstein—Randers metrics on compact simple Lie groups

Authors: Xiaosheng Li, Huibin Chen and Zhiqi Chen

Abstract:

This paper is to construct non-naturally reductive Einstein—Randers metrics on compact simple Lie groups with the decompositions arising from flag manifolds with two isotropy summands.

Keywords: Einstein-Randers metric, non-naturally reductive metric, Finsler manifold, Lie group

Mathematics Subject Classification: 53C30, 53C25, 53C60, 22E60