Three-Dimensional Nonunimodular Lie Groups with a Riemannian Metric of an Invariant Ricci Soliton and a Semisymmetric Metric Connection

Three-Dimensional Nonunimodular Lie Groups with a Riemannian Metric of an Invariant Ricci Soliton and a Semisymmetric Metric Connection

In this paper, invariant Ricci solitons are considered on three-dimensional nonunimodular Lie groups with a left-invariant Riemannian metric and a semisymmetric connection. It is shown that there exist nontrivial solutions to the Ricci soliton equation on such Lie groups, and their complete classifi...

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Veröffentlicht in:Russian mathematics 2022-05, Vol.66 (5), p.65-69
Hauptverfasser: Klepikov, P. N., Rodionov, E. D., Khromova, O. P.
Format: Artikel
Sprache:eng
Schlagworte:
Invariants
Lie groups
Mathematics
Mathematics and Statistics
Solitary waves
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Zusammenfassung:In this paper, invariant Ricci solitons are considered on three-dimensional nonunimodular Lie groups with a left-invariant Riemannian metric and a semisymmetric connection. It is shown that there exist nontrivial solutions to the Ricci soliton equation on such Lie groups, and their complete classification is obtained.
ISSN:1066-369X
1934-810X
DOI:10.3103/S1066369X2205005X