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arXiv · 2207.01495

Inclusion properties of the triangular ratio metric balls

Oona Rainio
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Abstract

Inclusion properties are studied for balls of the triangular ratio metric, the hyperbolic metric, the $j^*$-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.

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Oona Rainio. 2022-07-04. Inclusion properties of the triangular ratio metric balls. https://arxiv.org/abs/2207.01495

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