The algebraic Ricci soliton of Lie groups H2×R and Sol_3

Document Type : Original Article

Authors

1 Department of Mathematics, Basic Sciences Faculty, University of Bonab, Bonab 5551395133, Iran. E-mail: p.atashpeykar@ubonab.ac.ir

2 Department of Mathematics, Basic Sciences Faculty, University of Bonab, Bonab 5551395133, Iran. E-mail: haji.badali@ubonab.ac.ir

Abstract

In this article, we study the algebraic Ricci solitons of three-dimensional Lie group H2×R, endowed with a left-invariant Riemannian metric. Also, we examine the existence of sol-solitons on the three-dimensional Lie group Sol3, endowed with a left-invariant Riemannian metric.

Keywords

Journal of Finsler Geometry and its Applications
Volume 1, Issue 2
December 2020
Pages 105-114

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