On the Einstein metrics of three-dimensional 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. 64-68
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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, left-invariant Lorentzian metric, semisymmetric connection.
Mots-clés : Lie group
Mots-clés : Lie group
@article{INTO_2023_222_a5,
author = {A. A. Pavlova and O. P. Khromova},
title = {On the {Einstein} metrics of three-dimensional {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},
pages = {64--68},
publisher = {mathdoc},
volume = {222},
year = {2023},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/INTO_2023_222_a5/}
}
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A. A. Pavlova; O. P. Khromova. On the Einstein metrics of three-dimensional 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. 64-68. http://geodesic.mathdoc.fr/item/INTO_2023_222_a5/