Abstract
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.
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The work is supported by the Russian Science Foundation, project no. 22-21-00111.
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Brief communication presented by S.K. Vodop’yanov
Translated by E. Oborin
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Klepikov, P.N., Rodionov, E.D. & Khromova, O.P. Three-Dimensional Nonunimodular Lie Groups with a Riemannian Metric of an Invariant Ricci Soliton and a Semisymmetric Metric Connection. Russ Math. 66, 65–69 (2022). https://doi.org/10.3103/S1066369X2205005X
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DOI: https://doi.org/10.3103/S1066369X2205005X