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Non-Riemannian Einstein-Randers metrics on E6/A4 and E6/A1

2017/11/08 by Li, Xiaosheng, Chen, Chao, Chen, Zhiqi +1
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1711.03211

Abstract

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

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