Zobrazeno 1 - 10
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pro vyhledávání: '"Vincze, Csaba"'
Autor:
Vincze, Csaba, Oláh, Márk
The L\'evi-Civita connection of a Riemannian manifold is a metric (compatible) linear connection, uniquely determined by its vanishing torsion. It is extremal in the sense that it has minimal torsion at each point. We can extend this idea to more gen
Externí odkaz:
http://arxiv.org/abs/2406.08033
In the paper we investigate locally symmetric polynomial metrics in special cases of Riemannian and Finslerian surfaces. The Riemannian case will be presented by a collection of basic results (regularity of second root metrics) and formulas up to Gau
Externí odkaz:
http://arxiv.org/abs/2403.09633
Autor:
Vincze, Csaba, Nagy, Ábris
Publikováno v:
Fundamenta Informaticae, Volume 189, Issue 2: Tomography and Applications 2022 (September 21, 2023) fi:11216
A distance mean function measures the average distance of points from the elements of a given set of points (focal set) in the space. The level sets of a distance mean function are called generalized conics. In case of infinite focal points the avera
Externí odkaz:
http://arxiv.org/abs/2304.08626
Autor:
Vincze, Csaba, Oláh, Márk
Finsler metrics are direct generalizations of Riemannian metrics such that the quadratic Riemannian indicatrices in the tangent spaces of a manifold are replaced by more general convex bodies as unit spheres. A linear connection on the base manifold
Externí odkaz:
http://arxiv.org/abs/2204.01034
Publikováno v:
INVOLVE: A JOURNAL OF MATHEMATICS 13 : 4 pp. 577-595. , 19 p. (2020)
An equidistant polytope is a special equidistant set in the space $\mathbb{R}^n$ all of whose boundary points have equal distances from two finite systems of points. Since one of the finite systems of the given points is required to be in the interio
Externí odkaz:
http://arxiv.org/abs/2112.08192
Autor:
Vincze, Csaba, Oláh, Márk
A linear connection on a Finsler manifold is called compatible to the Finsler function if its parallel transports preserve the Finslerian length of tangent vectors. Generalized Berwald manifolds are Finsler manifolds equipped with a compatible linear
Externí odkaz:
http://arxiv.org/abs/2108.10032
Autor:
Vincze, Csaba, Oláh, Márk
A linear connection on a Finsler manifold is called compatible to the metric if its parallel transports preserve the Finslerian length of tangent vectors. Generalized Berwald manifolds are Finsler manifolds equipped with a compatible linear connectio
Externí odkaz:
http://arxiv.org/abs/2001.04389
Autor:
Vincze, Csaba
Generalized Berwald manifolds are Finsler manifolds admitting linear connections such that the parallel transports preserve the Finslerian length of tangent vectors (compatibi\-li\-ty condition). By the fundamental result of the theory \cite{V5} such
Externí odkaz:
http://arxiv.org/abs/1909.03096
The main purpose of this work is to provide the general solutions of a class of linear functional equations. Let $n\geq 2$ be an arbitrarily fixed integer, let further $X$ and $Y$ be linear spaces over the field $\mathbb{K}$ and let $\alpha_{i}, \bet
Externí odkaz:
http://arxiv.org/abs/1903.07974
Autor:
Vincze, Csaba
Generalized Berwald manifolds are Finsler manifolds admitting linear connections such that the parallel transports preserve the Finslerian length of tangent vectors. By the fundamental result of the theory \cite{V5} such a linear connection must be m
Externí odkaz:
http://arxiv.org/abs/1903.06665