MAPPING PROPERTIES OF A SCALE INVARIANT CASSINIAN METRIC AND A GROMOV HYPERBOLIC METRIC

DOI10.1017/S0004972717000570zbMath1381.51015arXiv1706.08643OpenAlexW2963806808MaRDI QIDQ4601181

Manas Ranjan Mohapatra, Swadesh Kumar Sahoo

Publication date: 12 January 2018

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.08643

zbMATH Keywords

uniform continuityquasiconformal mapMöbius mapGromov hyperbolic metrichyperbolic-type metricsscale invariant Cassinian metric

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Conformal mappings of special domains (30C20)

Related Items (5)

Comparison and Möbius quasi-invariance properties of Ibragimov's metric ⋮ Growth of some hyperbolic type distances and starlikeness of metric balls ⋮ Remarks on the scale-invariant Cassinian metric ⋮ Strongly hyperbolic metrics on Ptolemy spaces ⋮ A new intrinsic metric on metric spaces

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