6 citations · 14 across the 23 of their papers we have counts for
30 papers
On a special class of equidistant sets in the Euclidean space
Á. Nagy, M. Oláh, M. Stoika +1
An equidistant set in the Euclidean space consists of points having equal distances to both members of a given pair of sets, called focal sets. Since there is no effective formula…
Natural parallel translation and connection associated to navigation data
Asma Mezrag, Zoltan Muzsnay, Csaba Vincze
In this paper, we consider the geometric setting of navigation data and introduce a natural parallel translation using the Riemannian parallelism. The geometry obtained in this way…
An application of Brouwer's fixed-point theorem: continuously differentiable convex functions with gradient of constant norm
Csaba Vincze
As an application of Brouwer's fixed-point theorem we prove that a continuously differentiable convex function with gradient of constant norm is an affine mapping. It is a first-or…
Randers metrics with compatible linear connections: a coordinate-free approach
Márk Oláh, Csaba Vincze
A Randers space is a differentiable manifold equipped with a Randers metric. It is the sum of a Riemannian metric and a one-form on the base manifold. The compatibility of a linear…
A geometric application of Lagrange multipliers: extremal compatible linear connections
Csaba Vincze, Márk Oláh
The Lévi-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 ha…
On locally symmetric polynomial metrics: Riemannian and Finslerian surfaces
Csaba Vincze, Márk Oláh, Ábris Nagy
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 ba…