Zobrazeno 1 - 10
of 67
pro vyhledávání: '"Irina, Tsyganok"'
In the present paper, we consider the Hodge-de Rham Laplacian that acts on conformal Killing and projective Killing one-forms of a compact Riemannian manifold.
Externí odkaz:
http://arxiv.org/abs/1501.00275
Publikováno v:
Mathematics, Vol 11, Iss 5, p 1114 (2023)
In the present paper, we study the geometry of infinitesimal conformal, affine, projective, and harmonic transformations of complete Riemannian manifolds using the concepts of geometric dynamics and the methods of the modern version of the Bochner te
Externí odkaz:
https://doaj.org/article/b5fc6f4d714d4f6080f0e047c325ca6e
Autor:
Irina Tsyganok
Publikováno v:
Journal of Danubian Studies and Research, Vol 9, Iss 1, Pp 249-255 (2019)
This article presents the description of color designations with national and cultural content in the Ukrainian, Russian, Bulgarian, Romanian languages, the speakers of which have long inhabited the multi-ethnic region of Danube. For this purpose a
Externí odkaz:
https://doaj.org/article/96ec4cb5d80d403aa50e2a69c991fe72
Publikováno v:
Mathematics, Vol 10, Iss 13, p 2208 (2022)
Gray has presented the invariant orthogonal irreducible decomposition of the space of all covariant tensors of rank 3, obeying only the identities of the gradient of the Ricci tensor. This decomposition introduced the seven classes of Einstein-like m
Externí odkaz:
https://doaj.org/article/5fd5dccef65a42fd86531f095ad06858
Publikováno v:
Axioms, Vol 10, Iss 4, p 333 (2021)
This article is devoted to geometrical aspects of conformal mappings of complete Riemannian and Kählerian manifolds and uses the Bochner technique, one of the oldest and most important techniques in modern differential geometry. A feature of this ar
Externí odkaz:
https://doaj.org/article/2a40c96fc1cd4610b6e9caf985c9ea08
Publikováno v:
Mathematics, Vol 9, Iss 9, p 927 (2021)
In this article, we discuss the global aspects of the geometry of locally conformally flat (complete and compact) Riemannian manifolds. In particular, the article reviews and improves some results (e.g., the conditions of compactness and degeneration
Externí odkaz:
https://doaj.org/article/11278feb5af54755ad097303d9cc26a5
Publikováno v:
Mathematics, Vol 8, Iss 1, p 83 (2020)
In this paper, we study the kernel and spectral properties of the Bourguignon Laplacian on a closed Riemannian manifold, which acts on the space of symmetric bilinear forms (considered as one-forms with values in the cotangent bundle of this manifold
Externí odkaz:
https://doaj.org/article/67d0e430187b410ea84cd4ff43a2ed98
Autor:
Irina Tsyganok
Publikováno v:
Journal of Danubian Studies and Research, Vol 5, Iss 2, Pp 89-95 (2015)
In modern linguistics naive and everyday concepts are regarded as correlates of cultural concepts. The difference between them lies in the fact that the empirical patterns manifest themselves in everyday conversation practice, literary and dialecta
Externí odkaz:
https://doaj.org/article/b73821061db54a3a8b3fe8feb6452691
Autor:
Irina Tsyganok, Sergey Stepanov
Publikováno v:
Mathematical Notes. 109:932-939
The global geometry of the traceless Killing and Codazzi tensors on complete (in particular, compact) Riemannian manifolds is studied by methods of geometric analysis. Applications are considered.