On the analytic reflection of a minimal surface
type: Item
instance of: scholarly article
title: On the analytic reflection of a minimal surface
zbMATH Open document ID: 0786.53039
author: Jaigyoung Choe
published in: Pacific Journal of Mathematics
publication date: 1994-05-03T00:00:00Z
review text: For a long time it has been known that in a Euclidean space one can reflect a minimal surface across a part of its boundary if the boundary contains a line segment, or if the minimal surface meets a plane orthogonally along the boundary. The proof of this fact makes use of H. A. Schwarz's reflection principle for harmonic functions. In this paper we show that a minimal surface can also be reflected analytically if it meets a plane at a constant angle.
Mathematics Subject Classification ID: 53C42
zbMATH DE Number: 508852
zbMATH Keywords: reflection principle
zbMATH Keywords: minimal surface
MaRDI profile type: Publication
full work available at URL: pjm.1993.157.29
OpenAlex ID: W2085905806
DOI: 10.2140/PJM.1993.157.29
description: scientific article; zbMATH DE number 508852