3 papers
math.DG2025
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…
math.MG2025
On computable classes of equidistant sets: multivariate equidistant functions
Ãbris Nagy, Márk Oláh, Myroslav 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. Having no effective formulas to comp…
math.DG2024
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 h…