Inclusion properties of the triangular ratio metric balls
arXiv:2207.01495
Abstract
Inclusion properties are studied for balls of the triangular ratio metric, the hyperbolic metric, the -metric, and the distance ratio metric defined in the unit ball domain. Several sharp results are proven and a conjecture about the relation between triangular ratio metric balls and hyperbolic balls is given. An algorithm is also built for drawing triangular ratio circles or three-dimensional spheres.
23 pages, 5 figures