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, 2020, Volume 180, Pages 41–49
DOI: https://doi.org/10.36535/0233-6723-2020-180-41-49 (Mi into639) 		 
On prescribed values of the operator of sectional curvature on three-dimensional locally homogeneous Lorentzian manifolds

S. V. Klepikova, O. P. Khromova

Altai State University, Barnaul
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DOI: https://doi.org/10.36535/0233-6723-2020-180-41-49
Abstract: In this paper, the problem of prescribed values of the operator of sectional curvature on a three-dimensional locally homogeneous Lorentzian manifolds is solved. Necessary and sufficient conditions for the operator of sectional curvature of such manifolds are obtained.
Keywords: Lie algebra, Lie group, left-invariant Lorentzian metric, curvature operator, spectrum.
Funding agency Grant number
Russian Foundation for Basic Research 18-31-00033 мол_а
This work was supported by the Russian Foundation for Basic Research (project No. 18-31-00033 mol_a).
Document Type: Article
UDC: 514.765
MSC: 53B20, 53C30, 53C50
Language: Russian
Citation: S. V. Klepikova, O. P. Khromova, “On prescribed values of the operator of sectional curvature on three-dimensional locally homogeneous Lorentzian manifolds”, Proceedings of the International Conference "Classical and Modern Geometry" Dedicated to the 100th Anniversary of the Birth of Professor Vyacheslav Timofeevich Bazylev. Moscow, April 22-25, 2019. Part 2, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 180, VINITI, Moscow, 2020, 41–49
Citation in format AMSBIB
\Bibitem{KleKhr20}
\by S.~V.~Klepikova, O.~P.~Khromova
\paper On prescribed values of the operator of sectional curvature on three-dimensional locally homogeneous Lorentzian manifolds
\inbook Proceedings of the International Conference "Classical and Modern Geometry"
Dedicated to the 100th Anniversary of the Birth of Professor Vyacheslav Timofeevich Bazylev.
Moscow, April 22-25, 2019. Part 2
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2020
\vol 180
\pages 41--49
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into639}
\crossref{https://doi.org/10.36535/0233-6723-2020-180-41-49}
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