Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2023, Volume 222, Pages 64–68
DOI: https://doi.org/10.36535/0233-6723-2023-222-64-68 (Mi into1141) 		 
On the Einstein metrics of three-dimensional Lie groups with a semisymmetric connection

A. A. Pavlova, O. P. Khromova

Altai State University, Barnaul
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DOI: https://doi.org/10.36535/0233-6723-2023-222-64-68
Abstract: In this paper, we study the Einstein equations on three-dimensional unimodular Lie groups with a left-invariant Lorentzian metric and a semisymmetric connection.
Keywords: Einstein metric, Lie group, left-invariant Lorentzian metric, semisymmetric connection.
Funding agency Grant number
Russian Science Foundation 22-21-00111
This work was partially supported by the Russian Science Foundation (project No. 22-21-00111).
Document Type: Article
UDC: 514.765
MSC: 53B20, 53C30, 53C50
Language: Russian
Citation: A. A. Pavlova, O. P. Khromova, “On the Einstein metrics of three-dimensional Lie groups with a semisymmetric connection”, 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, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 222, VINITI, Moscow, 2023, 64–68
Citation in format AMSBIB
\Bibitem{PavKhr23}
\by A.~A.~Pavlova, O.~P.~Khromova
\paper On the Einstein metrics of three-dimensional Lie groups with a semisymmetric connection
\inbook 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
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2023
\vol 222
\pages 64--68
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into1141}
\crossref{https://doi.org/10.36535/0233-6723-2023-222-64-68}
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