On Meromorphic Functions which are Brody Curves
Joerg Winkelmann
TL;DR
This paper investigates meromorphic functions on the complex plane that are Brody curves, focusing on their properties as holomorphic maps to the Riemann sphere with bounded spherical derivative.
Contribution
It provides a detailed analysis of meromorphic Brody curves, exploring their characteristics as holomorphic maps with bounded spherical derivatives.
Findings
Characterization of meromorphic Brody curves
Conditions for bounded spherical derivatives
Implications for complex analysis and geometry
Abstract
We discuss meromorphic functions on the complex plane which are Brody curves regarded as holomorphic maps to P_1, i.e., which have bounded spherical derivative.
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Taxonomy
TopicsMeromorphic and Entire Functions · Polynomial and algebraic computation · Advanced Differential Equations and Dynamical Systems