Geodesic
Three-dimensional nonunimodular Lie groups with a Riemannian metric of an invariant Ricci soliton and a semi-symmetric metric connection
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2022), pp. 80-85

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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.
Mots-clés : invariant Ricci soliton, Lie group
Keywords: left-invariant Riemannian metric, semi-symmetric metric connection. 
@article{IVM_2022_5_a6,
     author = {P. N. Klepikov and E. D. Rodionov and O. P. Khromova},
     title = {Three-dimensional nonunimodular {Lie} groups with a {Riemannian} metric of an invariant {Ricci} soliton and a semi-symmetric metric connection},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {80--85},
     publisher = {mathdoc},
     number = {5},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2022_5_a6/}
}
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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. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2022), pp. 80-85. http://geodesic.mathdoc.fr/item/IVM_2022_5_a6/