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Research Article | Open Access

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
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Abstract

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.

Keywords

Riemannian Einstein metricsEinstein-Randers metricsFinsler manifoldshomogeneous manifoldsthe generalized Wallach spaces
CLC number: 53C25, 53C30

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AIMS Mathematics
Volume 8 Issue 10,
October 2023
Pages 23062-23086
DOI: 10.3934/math.20231174

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Cite this article:
Li X. New Einstein-Randers metrics on certain homogeneous manifolds arising from the generalized Wallach spaces. AIMS Mathematics, 2023, 8(10): 23062-23086. https://doi.org/10.3934/math.20231174

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Received: 08 June 2023
Revised: 02 July 2023
Accepted: 05 July 2023
Published: 15 October 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)