University of Mohaghegh Ardabili Journal of Finsler Geometry and its Applications 2783-0500 1 2 2020 12 01 The algebraic Ricci solitons of Lie groups H2 × R and Sol3 105 114 1244 10.22098/jfga.2020.1244 EN Parvane Atashpeykar Department of Mathematics, Basic Sciences Faculty, University of Bonab, Bonab 5551395133, Iran. E-mail: p.atashpeykar@ubonab.ac.ir Ali Haji-Badali Department of Mathematics, Basic Sciences Faculty, University of Bonab, Bonab 5551395133, Iran. E-mail: haji.badali@ubonab.ac.ir Journal Article 2021 07 21 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. https://jfga.uma.ac.ir/article_1244_be99685bc56d6cd56baa19d4cb2bf36e.pdf