Einstein metrics and Einstein–Randers metrics on a class of homogeneous manifolds-Reference-Cited by-同舟云学术

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

Published:2018-03-13 Issue:04 Volume:15 Page:1850052
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

chen Chao¹^ORCID,chen Zhiqi²,Hu Yuwang¹

Affiliation:

1. School of Mathematics and Statistics, Xinyang Normal University, Xinyang 464000, P. R. China

2. School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, P. R. China

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.

Funder

NNSFC

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887818500524

Reference26 articles.

1. Surveys in Differential Geometry;Wang M.,1999

2. Advanced Lectures in Mathematics;Wang M.,2012

3. Homogeneous Einstein metrics and simplicial complexes

4. A variational approach for compact homogeneous Einstein manifolds

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1. On S-curvature of a homogeneous Finsler space with square metric;International Journal of Geometric Methods in Modern Physics;2020-01-22

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