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A Schwarz-type formula for minimal surfaces in Euclidean space \(\mathbb{R}^n\) - MaRDI portal

A Schwarz-type formula for minimal surfaces in Euclidean space \(\mathbb{R}^n\) (Q1600121)

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scientific article; zbMATH DE number 1754764
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English
A Schwarz-type formula for minimal surfaces in Euclidean space \(\mathbb{R}^n\)
scientific article; zbMATH DE number 1754764

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    A Schwarz-type formula for minimal surfaces in Euclidean space \(\mathbb{R}^n\) (English)
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    12 June 2002
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    This paper is a preliminary version of a larger work announced by the authors. The authors provide an extension to \(\mathbb{R}^n\) of the classical Schwarz representation formula for minimal surfaces; they obtain as consequences a general form of the reflection principle and a procedure for constructing minimal surfaces in \(\mathbb{R}^n\).
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    representation formula
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    minimal surfaces
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    reflection principle
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