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AIMS Mathematics

2023, Volume 8, Issue 10: 23062-23086. doi: 10.3934/math.20231174
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Research article

New Einstein-Randers metrics on certain homogeneous manifolds arising from the generalized Wallach spaces

  • School of Mathematics and Statistics, Xinyang Normal University, Xinyang 464000, China
  • Received: 08 June 2023 Revised: 02 July 2023 Accepted: 05 July 2023 Published: 20 July 2023

  • MSC : 53C25, 53C30

  • In this article, we find several new non-Riemannian Einstein-Randers metrics on some homogeneous manifolds arising from the generalized Wallach spaces. We first prove the existence of Riemannian Einstein metrics on these homogeneous manifolds. Based on these metrics, we prove that there exist non-Riemannian Einstein-Randers metrics on these homogeneous manifolds.

    Citation: Xiaosheng Li. New Einstein-Randers metrics on certain homogeneous manifolds arising from the generalized Wallach spaces[J]. AIMS Mathematics, 2023, 8(10): 23062-23086. doi: 10.3934/math.20231174

    Related Papers:

  • In this article, we find several new non-Riemannian Einstein-Randers metrics on some homogeneous manifolds arising from the generalized Wallach spaces. We first prove the existence of Riemannian Einstein metrics on these homogeneous manifolds. Based on these metrics, we prove that there exist non-Riemannian Einstein-Randers metrics on these homogeneous manifolds.


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  • © 2023 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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