Geodesic
On prescribed values of the operator of sectional curvature on three-dimensional locally homogeneous Lorentzian manifolds
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 Vyacheslav Timofeevich Bazylev. Moscow, April 22-25, 2019. Part 2, Tome 180 (2020), pp. 41-49

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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, left-invariant Lorentzian metric, curvature operator, spectrum.
Mots-clés : Lie group 
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     author = {S. V. Klepikova and O. P. Khromova},
     title = {On prescribed values of the operator of sectional curvature on three-dimensional locally homogeneous {Lorentzian} manifolds},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {41--49},
     publisher = {mathdoc},
     volume = {180},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2020_180_a5/}
}
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S. V. Klepikova; O. P. Khromova. On prescribed values of the operator of sectional curvature on three-dimensional locally homogeneous Lorentzian manifolds. 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 Vyacheslav Timofeevich Bazylev. Moscow, April 22-25, 2019. Part 2, Tome 180 (2020), pp. 41-49. http://geodesic.mathdoc.fr/item/INTO_2020_180_a5/