Výsledky vyhledávání - "O.P. Khromova"

On the Symmetric Einstein Equation for Three-Dimensional Lie Groups with Left-Invariant Riemannian Metric and Semi-Symmetric Connection

Autor: A.A. Pavlova, O.P. Khromova, E.D. Rodionov, D.V. Vylegzhanin

Publikováno v: Izvestiya of Altai State University; No 4(126) (2022): Izvestiya of Altai State University; 140-143
Известия Алтайского государственного университета; № 4(126) (2022): Известия Алтайского государственного университета; 140-143

Riemannian manifolds with a Levi-Civita connection and constant Ricci curvature, or Einstein manifolds, were studied in the works of many mathematicians. This question has been most studied in the homogeneous Riemannian case. In this direction, the m

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5c5048dce3b05e4927370bd4d16a48ae
https://doi.org/10.14258/izvasu(2022)4-21

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О симметрических потоках Риччи полусимметрических связностей на трехмерных метрических группах Ли

Autor: O.P. Khromova, V.V. Balashchenko

Publikováno v: Izvestiya of Altai State University; No 1(129) (2023): Известия Алтайского государственного университета; 141-144
Известия Алтайского государственного университета; № 1(129) (2023): Известия Алтайского государственного университета; 141-144

The study of Ricci flows, which describe the deformation of (pseudo) Riemannian metrics on a manifold, and their solutions, Ricci solitons, has garnered much attention from mathematicians. However, previous studies have typically focused on manifolds

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2bf53e18d06d31a41cbede908567654f
http://izvestiya.asu.ru/article/view/(2023)1-23

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Eigenvalues of the Ricci Operator on Four-Dimensional Locally Homogeneous (Pseudo)Riemannian Manifolds with a Four-Dimensional Isotropy Subgroup

Autor: O.P. Khromova, P.N. Klepikov, D.V. Vylegzhanin

Publikováno v: Izvestiya of Altai State University. :93-96

The problem of restoring a (pseudo)Riemannian manifold from a given Ricci operator was studied in the papers of many mathematicians. This problem was solved by O. Kowalski and S. Nikcevic for the case of three-dimensional locally homogeneous Riemanni

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::ee2e8605c9036a36d890bb502f2de9fb
https://doi.org/10.14258/izvasu(2021)1-15

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О гипотезе Цербо на группах Ли с левоинвариантной лоренцевой метрикой

Autor: V.V. Balashchenko, P.N. Klepikov, E.D. Rodionov, O.P. Khromova

Publikováno v: Izvestiya of Altai State University; No 1(123) (2022): Известия Алтайского государственного университета; 79-82
Известия Алтайского государственного университета; № 1(123) (2022): Известия Алтайского государственного университета; 79-82

К числу многообразий с ограничениями на тензорные поля относятся многообразия Эйнштейна, эйнштейново-подобные многообразия, конформно

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::22551fd049c61ac5d07000bfd8405968
http://izvestiya.asu.ru/article/view/(2022)1-12

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On the δ-Pinching Function of the Sectional Curvature of a Compact Connected Lie Group G with a Bi-Invariant Riemannian Metric and a Vectorial Torsion Connection

Autor: O.P. Khromova, E.D. Rodionov

Publikováno v: Izvestiya of Altai State University. :117-120

One of the important problems of Riemannian geometry is the problem of establishing connections between curvature and the topology of a Riemannian manifold, and, in particular, the influence of the sign of sectional curvature on the topological struc

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::4766428243a64ec054c7abcaa9b99cdd
https://doi.org/10.14258/izvasu(2020)4-19

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Investigation of Curvature Operatorson Three-Dimensional Locally Homogeneous Lorentzian Manifolds with Application of Symbolic Computations Packages

Autor: O.P. Khromova, S.V. Klepikova

Publikováno v: Izvestiya of Altai State University. 4

Изучение свойств операторов кривизны представляет интерес в понимании геометрического и топологического строения однородного (псевдо

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::4bf0362802f57302256ec09273cf4c6f
https://doi.org/10.14258/izvasu(2017)4-20

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On the Sectional Curvature Operator of Three-Dimensional Lie Groups with Left-Invariant Lorentzian Metrics

Autor: O.P. Khromova, S.V. Klepikova

Publikováno v: Izvestiya of Altai State University. 1

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::9d1dda3bcb09c50458149819f104de76
https://doi.org/10.14258/izvasu(2017)1-17

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Application of Symbolic Computation Packages to Investigation of One-Dimensional Curvature Operator on Non-Reductive Homogeneous Pseudo-Riemannian Manifolds

Autor: O.P. Khromova

Publikováno v: Izvestiya of Altai State University. 1

The study of curvature operator properties, in particular, the one-dimensional curvature operator, is interesting for the understanding of the geometrical and topological structure of a homogeneous (pseudo)Riemannian manifold. In general case, this p

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::24eff547e784b985014e3ef49eb276fc
https://doi.org/10.14258/izvasu(2017)1-28

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