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Research Article | Open Access

Riemann solitons on Egorov and Cahen-Wallach symmetric spaces

Shahroud Azami1, Rawan Bossly2, Abdul Haseeb2( )
Department of pure Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran
Department of Mathematics, College of Science, Jazan University, P.O. Box. 114, Jazan 45142, Kingdom of Saudi Arabia
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Abstract

In this paper, we consider Egorov and Cahen-Wallach symmetric spaces and study the Riemann solitons on these spaces. We prove that Egorov and Cahen-Wallach symmetric spaces admit the Riemann solitons. Also, we classify the Riemann solitons on these spaces and show that the potential vector fields of the Riemann solitons are Killing, Ricci collineation, and Ricci bi-conformal vector fields.

Keywords

conformal vector fieldsWalker manifoldsRiemannian metrics
CLC number: 53C21, 53C25, 53E20

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AIMS Mathematics
Volume 10 Issue 1,
January 2025
Pages 1882-1899
DOI: 10.3934/math.2025087

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Cite this article:
Azami S, Bossly R, Haseeb A. Riemann solitons on Egorov and Cahen-Wallach symmetric spaces. AIMS Mathematics, 2025, 10(1): 1882-1899. https://doi.org/10.3934/math.2025087

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Received: 16 November 2024
Revised: 29 December 2024
Accepted: 22 January 2025
Published: 15 January 2025
©2025 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)