Open book structures and unicity of minimal submanifolds
type: Item
instance of: scholarly article
title: Open book structures and unicity of minimal submanifolds
zbMATH Open document ID: 0702.53039
publication date: 1990-01-01T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/74893
review text: We prove unicity of certain minimal submanifolds, for example Clifford annuli in \(S^ 3\). The idea is to consider the placement of the submanifold with respect to the (singular) foliation of \(S^ 3\) by the Clifford annuli whose boundary are two fixed great circles a distance \(\pi\) /2 apart.
Mathematics Subject Classification ID: 53C42
zbMATH DE Number: 4151296
zbMATH Keywords: minimal submanifolds
zbMATH Keywords: Clifford annuli
author: Robert Hardt
author: Harold Rosenberg
reviewed by: Robert Hardt
MaRDI profile type: Publication
OpenAlex ID: W2070225084
Wikidata QID: Q125312295
cites work: Elliptic Partial Differential Equations of Second Order
cites work: Minimal surfaces in foliated manifolds
cites work: Boundary regularity and embedded solutions for the oriented Plateau problem
cites work: Complete minimal surfaces in \(S^ 3\)
cites work: Q3721329
cites work: On surfaces of stationary area bounded by two circles, or convex curves, in parallel planes
cites work: On the Gauss map of an area-minimizing hypersurface
DOI: 10.5802/AIF.1229
published in: Annales de l’institut Fourier
description: scientific article; zbMATH DE number 4151296