Zobrazeno 1 - 7
of 7
pro vyhledávání: '"I. I. Tsyganok"'
Autor:
S. E. Stepanov, I. I. Tsyganok
Publikováno v:
Дифференциальная геометрия многообразий фигур, Vol 55, Iss 1, Pp 68-73 (2024)
In the present paper, we prove that if is an -dimensional compact Riemannian manifold and if where , and are the sectional and Ricci curvatures of respectively, then is diffeomorphic to a spherical space form where is a finite group of isometries act
Externí odkaz:
https://doaj.org/article/fa435ea2010045c68d3752561b127c43
Autor:
S. E. Stepanov, I. I. Tsyganok
Publikováno v:
Дифференциальная геометрия многообразий фигур, Vol 54, Iss 2, Pp 45-53 (2023)
In the present paper we consider pointwise orthogonal splitting of the space of well-known TT-tensors on Riemannian manifolds. Tensors of the first subspace belong to the kernel of the Bourguignon Laplacian, and the tensors of the second subs
Externí odkaz:
https://doaj.org/article/5a8b155be9bf4c7da73e90a61ca601fc
Publikováno v:
Дифференциальная геометрия многообразий фигур, Iss 53, Pp 112-117 (2022)
The purpose of this paper is to prove of Liouville type theorems, i. e., theorems on the non-existence of Killing — Ricci and Codazzi — Ricci tensors on complete non-compact Riemannian manifolds. Our results complement the two classical vanis
Externí odkaz:
https://doaj.org/article/4e507ae7db464904a13bb0b7da6317cf
Publikováno v:
Дифференциальная геометрия многообразий фигур, Iss 52, Pp 117-122 (2021)
A 2n-dimensional differentiable manifold M with -structure is a Riemannian almost paracomplex manifold. In the present paper, we consider conformal transformations of metrics of Riemannian paracomplex manifolds. In particular, a number of vanis
Externí odkaz:
https://doaj.org/article/cd3e07d6538d466eae6e3d2a75918135
Autor:
S.E. Stepanov, I. I. Tsyganok
Publikováno v:
Дифференциальная геометрия многообразий фигур, Iss 51, Pp 116-122 (2020)
Conformal Killing form is a natural generalization of conformal Killing vector field. These forms were extensively studied by many geometricians. These considerations were motivated by existence of various applications for these forms. The
Externí odkaz:
https://doaj.org/article/5ee4be6531ed4b659654be99d7f3d1ba
Autor:
S. E. Stepanov, I. I. Tsyganok
Publikováno v:
Journal of Mathematical Sciences. 263:415-422
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4b5a66576c3da9e7d30a5a02dd812511
https://doi.org/10.1007/s10958-022-05940-7
https://doi.org/10.1007/s10958-022-05940-7
Publikováno v:
Дифференциальная геометрия многообразий фигур.
A Riemannian manifold of positive curvature operator has been studied from many directions. It is well known, that an n-dimensional closed Riemannian manifold with positive curvature operator is a spherical space form and its Betti numbers b1(M
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______2806::1de3f1692c9404290d2acb198596f39c
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