Riemann solitons on Lorentzian generalized symmetric spaces

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Published: Nov 12, 2024
DOI: https://doi.org/10.5556/j.tkjm.56.2025.5447
Keywords:
Conformal vector fields generalized symmetric spaces pseudo-Riemannian metrics

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Mehdi Jafari
Department of Mathematics, Payame Noor University
Shahroud Azami
Department of pure Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran.

Abstract

In this paper, we classify Riemann solitons on simply-connected 4-dimensional Lorentzian generalized symmetric spaces up to isometry. Then it is
proved which of them is the gradient soliton. Also, we prove none of the potential vector fields of Riemann solitons are Killing vector fields.

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How to Cite
Jafari, M., & Azami, S. (2024). Riemann solitons on Lorentzian generalized symmetric spaces. Tamkang Journal of Mathematics. https://doi.org/10.5556/j.tkjm.56.2025.5447
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Papers
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