Investigation of the spectra of curvature operators on locally homogeneous (pseudo)Riemannian manifolds
Main publications:
Klepikova S.V., Khromova O.P., “On the Sectional Curvature Operator of the Three-Dimensional Lie Groups with Left-Invariant Lorentzian Metrics”, Izvestiya of Altai State
University Journal, 2017, № 1, 91-94
Klepikova S.V., Rodionov E.D., Khromova O.P., “On the Curvature Operators of Metric Lie Groups”, Izvestiya of Altai State
University Journal, 2016, № 1, 129-137
Klepikov P.N., Klepikova S.V., Khromova O.P., “On the Spectrum of One-Dimensional Curvature
operators on Three-Dimensional Lie Groups with Left-Invariant Lorentzian Metrics”, Izvestiya of Altai State
University Journal, 2016, № 1, 117-122
Klepikov P.N., Pastukhova S.V., Rodionov E.D., Khromova O.P., “O tenzore Shoutena-Vejlja trehmernyh metricheskih grupp Li”, Matematika i ee prilozhenija: fundamental'nye problemy nauki i tehniki, Proceedings of the All-Russian Conference (ASU. Barnaul, 24-26 of November 2015), Publisher.: ASU., 2015, 102-110
Pastukhova S.V., Khromova O.P., “On the Signature of Ricci Curvature Tensor Operator of Three-Dimensional Lie Groups with left-Invariant Lorentzian Metrics”, Izvestiya of Altai State
University Journal, 2015, № 1/2, 141-146
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 Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 180 (2020), 41–49
2.
S. Klepikova, “On four-dimensional locally homogeneous pseudo-Riemannian manifolds with isotropic Weyl tensor”, Sib. Èlektron. Mat. Izv., 17 (2020), 1183–1216
2019
3.
S. V. Klepikova, “Four-dimensional locally homogeneous pseudo-Riemannian manifolds with an isotropic Weyl tensor”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 7, 86–90; Russian Math. (Iz. VUZ), 63:7 (2019), 75–79
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