On the average scale-invariant Cassinian metric
Metric Geometry
2025-07-29 v2 Complex Variables
Abstract
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 the scale-invariant metric balls in Euclidean once punctured spaces.
Keywords
Cite
@article{arxiv.2506.00810,
title = {On the average scale-invariant Cassinian metric},
author = {Manas Mohapatra and Antti Rasila and Matti Vuorinen},
journal= {arXiv preprint arXiv:2506.00810},
year = {2025}
}
Comments
20 pages, 1 figure