Geodesic
Invariant Ricci solitons on three-dimensional metric Lie groups with semi-symmetric connection
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2021), pp. 80-85

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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.
Mots-clés : Invariant Ricci solitons
Keywords: left–invariant Riemannian metrics, Lie groups, semi-symmetric connections. 
@article{IVM_2021_8_a8,
     author = {P. N. Klepikov and E. D. Rodionov and O. P. Khromova},
     title = {Invariant {Ricci} solitons on three-dimensional metric {Lie} groups with semi-symmetric connection},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {80--85},
     publisher = {mathdoc},
     number = {8},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2021_8_a8/}
}
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P. N. Klepikov; E. D. Rodionov; O. P. Khromova. Invariant Ricci solitons on three-dimensional metric Lie groups with semi-symmetric connection. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2021), pp. 80-85. http://geodesic.mathdoc.fr/item/IVM_2021_8_a8/