The algebraic Ricci soliton of Lie groups H۲×R and Sol_۳

In this article, we study the algebraic Ricci solitons of three-dimensional Lie group H۲×R, endowed with a left-invariant Riemannian metric. Also, we examine the existence of sol-solitons on the three-dimensional Lie group Sol۳, endowed with a left-invariant Riemannian metric.

Keywords:

Algebraic Ricci soliton , Lie group , Riemannian metric

Authors

Parvane Atashpeykar

Department of Mathematics, Basic Sciences Faculty, University of Bonab, Bonab ۵۵۵۱۳۹۵۱۳۳, Iran. E-mail: p.atashpeykar@ubonab.ac.ir

Ali Haji-Badali

Department of Mathematics, Basic Sciences Faculty, University of Bonab, Bonab ۵۵۵۱۳۹۵۱۳۳, Iran. E-mail: haji.badali@ubonab.ac.ir

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https://civilica.com/doc/1814760

شناسه ملی سند علمی:

JR_JFGA-1-2_010

تاریخ نمایه سازی: 18 آبان 1402

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Atashpeykar, Parvane and Haji-Badali, Ali,1399,The algebraic Ricci soliton of Lie groups H۲×R and Sol_۳,https://civilica.com/doc/1814760

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