Yamabe solitons on Sol_3 space
Keywords:
Solvabe Lie group, Yamabe soliton, gradient Yamabe soliton, Riemannian metric, Lorentzian metric, left-invariant metricAbstract
The aim of this work is to find the existence/non-existence of Yamabe solitons and gradient Yamabe solitons of $Sol_3$ space with left-invariant Riemannian and Lorentzian metric. We show that there exists an expanding Yamabe soliton and a gradient Yamabe soliton with a constant potential function on $Sol_3$ space.
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Published
2024-03-15
How to Cite
Rani, S., & Gupta, R. S. (2024). Yamabe solitons on Sol_3 space. International Journal of Maps in Mathematics, 7(1), 45–57. Retrieved from https://journalmim.com/index.php/journalMIM/article/view/7-1-4
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