Ricci-Yamabe solitons on the Lie group $H_{2} \times \mathbb{R}$

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Keywords:

$H_{2}\times %TCIMACRO{\U{211d} }% ?ginExpansion \mathbb{R} %EndExpansion $ Lie group, Ricci-Yamabe soliton, Gradient Ricci-Yamabe soliton

Abstract

In this paper, we study Ricci-Yamabe and gradient Yamabe solitons on the Lie group $H_{2}\times \mathbb{R}$ with a left-invariant metric. We prove that the kind of the Ricci-Yamabe soliton is only related with one variable existing in the definition.

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Published

2024-09-01

How to Cite

Altunbaş, M. (2024). Ricci-Yamabe solitons on the Lie group $H_{2} \times \mathbb{R}$. International Journal of Maps in Mathematics, 7(2), 217–223. Retrieved from https://simadp.com/journalmim/article/view/7-2-6