Yamabe solitons on Sol_3 space

Authors

Keywords:

Solvabe Lie group, Yamabe soliton, gradient Yamabe soliton, Riemannian metric, Lorentzian metric, left-invariant metric

Abstract

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.

Author Biography

  • Savita Rani, Guru Gobind Singh Indraprastha University, New Delhi

    Research Scholar

Vol. 7 No. 1 (2024): International Journal of Maps in Mathematics

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Published

2024-03-15

Issue

Vol. 7 No. 1 (2024): International Journal of Maps in Mathematics

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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. https://simadp.com/journalmim/article/view/7-1-4

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