Einstein metrics and Einstein–Randers metrics on a class of homogeneous manifolds

Chao Chen,Zhiqi Chen,Yuwang Hu

doi:10.1142/s0219887818500524

Einstein metrics and Einstein–Randers metrics on a class of homogeneous manifolds

Chao Chen, Zhiqi Chen + Show 1 more

https://doi.org/10.1142/s0219887818500524

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Journal: International Journal of Geometric Methods in Modern Physics	Publication Date: Mar 13, 2018
Citations: 1

Affiliation: Nankai University, Xinyang Normal University

#Class Of Homogeneous Manifolds #Einstein Randers Metrics + Show 6 more

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Abstract

In this paper, we give [Formula: see text]-invariant Einstein metrics on a class of homogeneous manifolds [Formula: see text], and then prove that every homogeneous manifold [Formula: see text] admits at least three families of [Formula: see text]-invariant non-Riemannian Einstein–Randers metrics.

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