2009•Journal of Quanzhou Normal UniversityRequires access
Reversible Harmonic Mappings and Minimal Surfaces
Xingdi Chen
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Abstract
This paper studies the harmonicity of the inverse of a univalent harmonic function:firstly gives a necessary and sufficient condition for determining the inverse of a univalent harmonic function to be ρ-harmonic,then thereby obtains the solutions of the class of(π,(|h′|+|g′|)2) reversible harmonic mappings.As an application,it obtains a new necessary and sufficient condition for determining the minimal surface lifted by a univalent harmonic function to be a plane.