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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2022, Number 5, Pages 80–85
DOI: https://doi.org/10.26907/0021-3446-2022-5-80-85 (Mi ivm9777) 		 
This article is cited in 1 scientific paper (total in 1 paper)

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Three-dimensional nonunimodular Lie groups with a Riemannian metric of an invariant Ricci soliton and a semi-symmetric metric connection

P. N. Klepikov, E. D. Rodionov, O. P. Khromova

Altai State University, 61 Lenina Ave., Barnaul, 656049 Russia
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DOI: https://doi.org/10.26907/0021-3446-2022-5-80-85
Abstract: In this paper, we consider invariant Ricci solitons on three-dimensional nonunimodular Lie groups with a left-invariant Riemannian metric and a semi-symmetric connection. It is shown that there are nontrivial solutions of the Ricci soliton equation on such Lie groups, and their complete classification is obtained.
Keywords: invariant Ricci soliton, left-invariant Riemannian metric, Lie group, semi-symmetric metric connection.
Funding agency Grant number
Russian Science Foundation 22-21-00111
Received: 07.03.2022
Revised: 07.03.2022
Accepted: 08.04.2022
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2022, Volume 66, Issue 5, Pages 65–69
DOI: https://doi.org/10.3103/S1066369X2205005X
Document Type: Article
UDC: 514.765
Language: Russian
Citation: P. N. Klepikov, E. D. Rodionov, O. P. Khromova, “Three-dimensional nonunimodular Lie groups with a Riemannian metric of an invariant Ricci soliton and a semi-symmetric metric connection”, Izv. Vyssh. Uchebn. Zaved. Mat., 2022, no. 5, 80–85; Russian Math. (Iz. VUZ), 66:5 (2022), 65–69
Citation in format AMSBIB
\Bibitem{KleRodKhr22}
\by P.~N.~Klepikov, E.~D.~Rodionov, O.~P.~Khromova
\paper Three-dimensional nonunimodular Lie groups with a Riemannian metric of an invariant Ricci soliton and a semi-symmetric metric connection
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2022
\issue 5
\pages 80--85
\mathnet{http://mi.mathnet.ru/ivm9777}
\crossref{https://doi.org/10.26907/0021-3446-2022-5-80-85}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2022
\vol 66
\issue 5
\pages 65--69
\crossref{https://doi.org/10.3103/S1066369X2205005X}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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