Some existence and uniqueness theorems for doubly periodic minimal surfaces
type: Item
instance of: scholarly article
title: Some existence and uniqueness theorems for doubly periodic minimal surfaces
zbMATH Open document ID: 0773.53005
DOI: 10.1007/BF01232021
author: Fusheng Wei
published in: Inventiones Mathematicae
publication date: 1993-03-03T00:00:00Z
full work available at URL: https://eudml.org/doc/144015
review text: The author constructs a new 1-parameter family of properly embedded doubly-periodic surfaces, which after dividing out the translational symmetry have genus 2. The examples known before had genus 0 (Scherk) and 1 (Karcher). He also gives a uniqueness theorem characterizing Scherk's surface among the genus 0 case.
reviewed by: Dirk Ferus
Mathematics Subject Classification ID: 53A10
Mathematics Subject Classification ID: 53C42
zbMATH DE Number: 126373
zbMATH Keywords: Karcher's minimal surface
zbMATH Keywords: genus 2
zbMATH Keywords: Scherk's surface
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 126373