Výsledky vyhledávání - "E.D. Rodionov"

Eigenvalues of Ricci Operator of Four-Dimensional Locally Homogeneous Riemannian Manifolds with Nontrivial Isotropy Subgroup

Autor: P.N. Klepikov, E.D. Rodionov

Publikováno v: Izvestiya of Altai State University; No 1(129) (2023): Известия Алтайского государственного университета; 100-105
Известия Алтайского государственного университета; № 1(129) (2023): Известия Алтайского государственного университета; 100-105

The topology of Riemannian manifolds can be linked to the eigenvalues of curvature operators, which was demonstrated in the works of J. Milnor, V.N. Berestovsky, V.V. Slavkii, E.D. Rodionov, and Yu.G. Nikonorov. J. Milnor studied the eigenvalues of t

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b8a38c68dbb3442df4888987ad507b9e
https://doi.org/10.14258/izvasu(2023)1-16

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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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Conformally Killing Fields on 2-Symmetric Five-Dimensional Lorentzian Manifolds

Autor: V.V. Balashchenko, E.D. Rodionov, D.N. Oskorbin, T.A. Andreeva

Publikováno v: Izvestiya of Altai State University. :68-71

The papers of many mathematicians are devoted to the study of conformally Killing vector fields. Being a natural generalization of the concept of Killing vector fields, these fields generate a Lie algebra corresponding to the Lie group of conformal t

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::16ff6ff13f196d3f105d2499c6fdf22d
https://doi.org/10.14258/izvasu(2021)1-11

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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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Ricci Solitons on Lorentzian Walker Manifolds of Low Dimension

Autor: D.N. Oskorbin, I.V. Ernst, E.D. Rodionov

Publikováno v: Lobachevskii Journal of Mathematics. 39:191-194

The Ricci soliton equation on four-dimensional conformally flat Lorentzian Walker manifolds is investigated, non-trivial solutions are found. New Ricci soliton metrics on three dimensional Lorentzian Walker manifolds are obtained.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::a7ff778f1d07f1cd1239e0338ca0e791
https://doi.org/10.1134/s1995080218020099

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