Zobrazeno 1 - 10
of 21
pro vyhledávání: '"Patrik Peška"'
Publikováno v:
Mathematics, Vol 11, Iss 17, p 3638 (2023)
In the present paper, we study two different approaches of tensor decomposition. The first part aims to study some properties of tensors that result from the fact that some components are vanishing in certain coordinates. It is proven that these cond
Externí odkaz:
https://doaj.org/article/7c8516df2d0842cda2a051050ad91225
Publikováno v:
Mathematics, Vol 10, Iss 13, p 2165 (2022)
In this paper, we study geodesic mappings of spaces with affine connections onto generalized 2-, 3-, and m-Ricci-symmetric spaces. In either case, the main equations for the mappings are obtained as a closed system of linear differential equations of
Externí odkaz:
https://doaj.org/article/e5594aba11564574a2ef17d11d2c03e7
Publikováno v:
Mathematics, Vol 8, Iss 9, p 1560 (2020)
In the paper, we consider geodesic mappings of spaces with an affine connections onto generalized symmetric and Ricci-symmetric spaces. In particular, we studied in detail geodesic mappings of spaces with an affine connections onto 2-, 3-, and m- (Ri
Externí odkaz:
https://doaj.org/article/0cc3d3e1962f41988b6046302e13463e
Publikováno v:
Mathematics, Vol 7, Iss 7, p 626 (2019)
We consider conformal and concircular mappings of Eisenhart’s generalized Riemannian spaces. We prove conformal and concircular invariance of some tensors in Eisenhart’s generalized Riemannian spaces. We give new generalizations of symmetric spac
Externí odkaz:
https://doaj.org/article/0abbd9d60edc47e5a5c8d62c94027b59
Publikováno v:
Matematicheskie Zametki. 110:151-154
Publikováno v:
Geometry, Integrability and Quantization. 22:136-141
In the paper we study the extremals and isoperimetric extremals of the rotations in the plane. We found that extremals of the rotations in the plane are arbitrary curves. By studying the Euler-Poisson equations for extended variational problems, we f
Publikováno v:
Proceedings of the Twenty-First International Conference on Geometry, Integrability and Quantization, Ivaïlo M. Mladenov, Vladimir Pulov and Akira Yoshioka, eds. (Sofia: Avangard Prima, 2020)
In this paper we will introduce a newly found knowledge above the existence and the uniqueness of isoperimetric extremals of rotation on two-dimensional (pseudo-) Riemannian manifolds and on surfaces on Euclidean space. We will obtain the fundamental
Publikováno v:
Filomat. 33:1053-1058
In this paper, we study n-dimensional recurrent equiaffine projective Euclidean manifolds, i.e. manifolds with absolute recurrent curvature tensor, which admit geodesic mappings onto Euclidean space, and they are equiaffine (where was obtained the sy
Publikováno v:
Filomat. 33:1273-1278
In this paper we study the theory of F-planar mappings of spaces with affine connection. We obtained condition, which preserved the curvature tensor. We also studied canonical F-planar mappings of space with affine connection onto symmetric spaces. I
Publikováno v:
Mathematics; Volume 8; Issue 9; Pages: 1560
Mathematics, Vol 8, Iss 1560, p 1560 (2020)
Mathematics. 2020, vol. 8, issue 9, p. 1-13.
Mathematics, Vol 8, Iss 1560, p 1560 (2020)
Mathematics. 2020, vol. 8, issue 9, p. 1-13.
In the paper, we consider geodesic mappings of spaces with an affine connections onto generalized symmetric and Ricci-symmetric spaces. In particular, we studied in detail geodesic mappings of spaces with an affine connections onto 2-, 3-, and m- (Ri