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JOURNALS // Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory // Archive
Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2023 Volume 222, Pages 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

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.

UDC: 514.765

MSC: 53B20, 53C30, 53C50

DOI: 10.36535/0233-6723-2023-222-64-68


© Steklov Math. Inst. of RAS, 2024