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Klepikova Svetlana Vladimirovna


Birth date: 31.08.1992
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Keywords: metric Lie groups, Lie algebras, locally homogeneous manifolds, left-invariant Lorentzian metric, curvature operator, spectrum

Subject:

Investigation of the spectra of curvature operators on locally homogeneous (pseudo)Riemannian manifolds


Main publications:
  1. 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
  2. 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
  3. 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
  4. 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
  5. 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

Publications in Math-Net.Ru

Presentations in Math-Net.Ru

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© Steklov Math. Inst. of RAS, 2024