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.
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Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 180, Proceedings of the International Conference “Classical and Modern Geometry” Dedicated tothe 100th Anniversary of Professor V. T. Bazylev. Moscow, April 22-25, 2019. Part 2, 2020.
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Klepikova, S.V., Khromova, O.P. On Prescribed Values of the Operator of Sectional Curvature on Three-Dimensional Locally Homogeneous Lorentzian Manifolds. J Math Sci 276, 508–516 (2023). https://doi.org/10.1007/s10958-023-06771-w
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DOI: https://doi.org/10.1007/s10958-023-06771-w