2 papers
math.MG2025
Shortest paths in planar domains with hyperbolic type metrics
Shuliang Gao, Anni Hakanen, Antti Rasila +1
We study planar domains equipped with a hyperbolic type metric and approximate geodesics that join two points and their lengths. We present an algorithm that enable…
math.MG2025
On the average scale-invariant Cassinian metric
Manas Mohapatra, Antti Rasila, Matti Vuorinen
We establish geometric relationships between the average scale-invariant Cassinian metric and other hyperbolic type metrics. In addition, we study the local convexity properties of…