Adding handles to Nadirashvili's surfaces
type: Item
instance of: scholarly article
title: Adding handles to Nadirashvili's surfaces
zbMATH Open document ID: 1069.53008
author: Francisco J. López
author: Francisco Martín
author: Santiago Morales
published in: Journal of Differential Geometry
publication date: 2004-03-08T00:00:00Z
review text: The main result in the paper is the following: For any genus \(\sigma \geqslant 1,\) there exists a complete bounded minimal surface in \(\mathbb{R}^3\) with genus \(\sigma\) and one end. The techniques are Runge's theorem and a technique developed by \textit{N. Nadirashvili} [Invent. Math. 126, 457--465 (1996; Zbl 0881.53053)].
reviewed by: Ricardo Sa Earp
Mathematics Subject Classification ID: 53A10
zbMATH DE Number: 2052870
zbMATH Keywords: minimal surfaces
zbMATH Keywords: genus
zbMATH Keywords: bounded
zbMATH Keywords: complete
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.4310/jdg/1090351086
OpenAlex ID: W1532474902
Wikidata QID: Q115201786
DOI: 10.4310/JDG/1090351086
description: scientific article; zbMATH DE number 2052870