The topological uniqueness of triply periodic minimal surfaces in \(R^ 3\)
type: Item
instance of: scholarly article
title: The topological uniqueness of triply periodic minimal surfaces in \(R^ 3\)
zbMATH Open document ID: 0689.53002
published in: Journal of Differential Geometry
publication date: 1990-01-01T00:00:00Z
review text: The author proves a conjecture of Meeks: All triply periodic minimal surfaces in \(R^ 3\) are equivalent under homeomorphisms of \(R^ 3\). The purely topological proofuses the fact that such surfaces cover Heegard splittings of the three-torus.
Mathematics Subject Classification ID: 53A10
Mathematics Subject Classification ID: 53C42
Mathematics Subject Classification ID: 57N10
zbMATH DE Number: 4129537
zbMATH Keywords: triply periodic minimal surfaces
zbMATH Keywords: Heegard splittings
Wikidata QID: Q115182321
author: Charles Frohman
reviewed by: Dirk Ferus
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.4310/jdg/1214444098
OpenAlex ID: W1483885407
DOI: 10.4310/JDG/1214444098
description: scientific article; zbMATH DE number 4129537