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