Open AccessA metric that better approximates the hyperbolic metric
Author(s) -
Weijiao Ma
Publication year - 2022
Publication title -
conformal geometry and dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.534
H-Index - 18
ISSN - 1088-4173
DOI - 10.1090/ecgd/368
Subject(s) - fisher information metric , metric (unit) , mathematics , intrinsic metric , injective metric space , fubini–study metric , metric differential , convex metric space , invariant (physics) , equivalence of metrics , pure mathematics , metric space , mathematical physics , operations management , economics
We introduce a metric, called the star metric, that gives us better upper bound of the hyperbolic metric than the Möbius invariant metric. We present various examples, and comparisons among the hyperbolic metric, the Möbius invariant metric and the star metric.