Domains with convex hyperbolic radius

Leonid V. Kovalev

Domains with convex hyperbolic radius

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

The hyperbolic radius of a domain on the Riemann sphere is equal to the reciprocal of the density of the hyperbolic metric. In the present paper, it is proved that the hyperbolic radius is a convex function if and only if the complement of the domain is a convex set.

Original language	English (US)
Pages (from-to)	207-213
Journal	Acta Mathematica Universitatis Comenianae
Volume	70
Issue number	2
State	Published - 2001

Keywords

hyperbolic radius
hyperbolic metric
convex functions

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http://www.emis.de/journals/AMUC/_vol-70/_no_2/_kovalev/kovalev.pdf

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KW - convex functions

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JO - Acta Mathematica Universitatis Comenianae

JF - Acta Mathematica Universitatis Comenianae

SN - 0862-9544

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