3 papers
math.MG2017
On the generalization of Erdős-Vincze's theorem about the approximation of closed convex plane curves by polyellipses
Csaba Vincze, Zoltán Kovács, Zsófia Fruzsina Csorvássy
A polyellipse is a curve in the Euclidean plane all of whose points have the same sum of distances from finitely many given points (focuses). The classical version of Erdős-Vincze'…
math.DG2016
An observation on Asanov's Unicorn metrics
Csaba Vincze
Finsleroid-Finsler metrics form an important class of singular (y-local) Finslerian metrics. They were introduced by G. S. Asanov in 2006. As a special case Asanov produced example…
math.DG2016
Analytic properties and the asymptotic behavior of the area function of a Funk metric
Csaba Vincze
In Minkowski geometry the unit ball is a compact convex body containing the origin in its interior. The boundary of the body is formed by the unit vectors. We also have a so-ca…