Riemann solitons on Egorov and Cahen-Wallach symmetric spaces

Riemann solitons on Egorov and Cahen-Wallach symmetric spaces

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...

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Bibliographic Details
Main Authors: Shahroud Azami, Rawan Bossly, Abdul Haseeb
Format: Article
Language:English
Published: AIMS Press 2025-02-01
Series:AIMS Mathematics
Subjects:
conformal vector fields
walker manifolds
riemannian metrics
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2025087
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Summary: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.
ISSN:2473-6988

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