English

Non-Riemannian Einstein-Randers metrics on $E_6/A_4$ and $E_6/A_1$

Differential Geometry 2017-11-10 v1

Abstract

In this paper, we first prove that homogeneous spaces E6/A4E_6/A_4 and E6/A1E_6/A_1 admit Einstein metrics which are Ad(T×A1×A4)Ad(T\times A_1\times A_4)-invariant, and then show that they admit Non-Riemannian Einstein-Randers metrics.

Keywords

Cite

@article{arxiv.1711.03211,
  title  = {Non-Riemannian Einstein-Randers metrics on $E_6/A_4$ and $E_6/A_1$},
  author = {Xiaosheng Li and Chao Chen and Zhiqi Chen and Yuwang Hu},
  journal= {arXiv preprint arXiv:1711.03211},
  year   = {2017}
}