Bulletin of the
Korean Mathematical Society BKMS

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Bull. Korean Math. Soc. 2015; 52(2): 679-684

Printed March 31, 2015

https://doi.org/10.4134/BKMS.2015.52.2.679

Copyright © The Korean Mathematical Society.

Some remarks on total curvature of a minimal graph

Andrzej Ganczar

Maria Curie-Sk{\l}odowska University

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Abstract

In this paper we discuss bounds for the total curvature of nonparametric minimal surfaces by using the properties of planar harmonic mappings.

Keywords: minimal surface, univalent harmonic mapping, dilatation, Bloch function

MSC numbers: Primary 30C45, 30C55

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