Geodesic
Invariant Ricci solitons on metric Lie groups with a semisymmetric connection
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference «Classical and Modern Geometry» dedicated to the 100th anniversary of the birth of Professor Levon Sergeyevich Atanasyan (July 15, 1921—July 5, 1998). Moscow, November 1–4, 2021. Part 3, Tome 222 (2023), pp. 19-29

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In this paper, we examine invariant Ricci solitons on three-dimensional unimodular Lie groups with a semisymmetric connection. We prove that nontrivial invariant Ricci solitons exist on some three-dimensional Lie groups with a left-invariant (pseudo) Riemannian metric and a semisymmetric connection different from the Levi-Civita connection. A complete classification of nontrivial invariant Ricci solitons and the corresponding semisymmetric connections on three-dimensional Lie groups is obtained.
Mots-clés : invariant Ricci soliton, Lie group
Keywords: left-invariant (pseudo) Riemannian metric, semisymmetric connection. 
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     author = {P. N. Klepikov and E. D. Rodionov and O. P. Khromova},
     title = {Invariant {Ricci} solitons on metric {Lie} groups with a semisymmetric connection},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
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     publisher = {mathdoc},
     volume = {222},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2023_222_a2/}
}
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P. N. Klepikov; E. D. Rodionov; O. P. Khromova. Invariant Ricci solitons on metric Lie groups with a semisymmetric connection. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference «Classical and Modern Geometry» dedicated to the 100th anniversary of the birth of Professor Levon Sergeyevich Atanasyan (July 15, 1921—July 5, 1998). Moscow, November 1–4, 2021. Part 3, Tome 222 (2023), pp. 19-29. http://geodesic.mathdoc.fr/item/INTO_2023_222_a2/