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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2021, Number 8, Pages 80–85
DOI: https://doi.org/10.26907/0021-3446-2021-8-80-85 (Mi ivm9706) 		 
This article is cited in 5 scientific papers (total in 5 papers)

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Invariant Ricci solitons on three-dimensional metric Lie groups with semi-symmetric 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/10.26907/0021-3446-2021-8-80-85
Abstract: In this paper, we investigate invariant Ricci solitons, an important subclass in the class of homogeneous Ricci solitons. A classification of invariant Ricci solitons on three-dimensional Lie groups with a left-invariant Riemannian metric and a semi-symmetric connection different from the Levi–Civita connection is obtained. It is proved that in this case there exist invariant Ricci solitons with nonconformal Killing vector field.
Keywords: Invariant Ricci solitons, left–invariant Riemannian metrics, Lie groups, semi-symmetric connections.
Received: 05.04.2021
Revised: 05.04.2021
Accepted: 29.06.2021
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2021, Volume 65, Issue 8, Pages 70–74
DOI: https://doi.org/10.3103/S1066369X21080090
Document Type: Article
UDC: 514.764
Language: Russian
Citation: P. N. Klepikov, E. D. Rodionov, O. P. Khromova, “Invariant Ricci solitons on three-dimensional metric Lie groups with semi-symmetric connection”, Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 8, 80–85; Russian Math. (Iz. VUZ), 65:8 (2021), 70–74
Citation in format AMSBIB
\Bibitem{KleRodKhr21}
\by P.~N.~Klepikov, E.~D.~Rodionov, O.~P.~Khromova
\paper Invariant Ricci solitons on three-dimensional metric Lie groups with semi-symmetric connection
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2021
\issue 8
\pages 80--85
\mathnet{http://mi.mathnet.ru/ivm9706}
\crossref{https://doi.org/10.26907/0021-3446-2021-8-80-85}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2021
\vol 65
\issue 8
\pages 70--74
\crossref{https://doi.org/10.3103/S1066369X21080090}
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    • This publication is cited in the following 5 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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