[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.b190789

A GENERALIZED HURWITZ METRIC

Arstu, Arstu (Discipline of Mathematics Indian Institute of Technology Indore)
Sahoo, Swadesh Kumar (Discipline of Mathematics Indian Institute of Technology Indore)

Publication Information

Bulletin of the Korean Mathematical Society / v.57, no.5, 2020 , pp. 1127-1142 More about this Journal

Abstract

In 2016, the Hurwitz metric was introduced by D. Minda in arbitrary proper subdomains of the complex plane and he proved that this metric coincides with the Poincaré's hyperbolic metric when the domains are simply connected. In this paper, we provide an alternate definition of the Hurwitz metric through which we could define a generalized Hurwitz metric in arbitrary subdomains of the complex plane. This paper mainly highlights various important properties of the Hurwitz metric and the generalized metric including the situations where they coincide with each other.

Keywords

Hyperbolic metric; Kobayashi metric; Hurwitz metric; Hurwitz covering; generalized Hurwitz metric; hyperbolic domain; Lipschitz domain;

Citations & Related Records

Reference

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