Willmore surfaces in the unit \(n\)-sphere
type: Item
instance of: scholarly article
title: Willmore surfaces in the unit \(n\)-sphere
zbMATH Open document ID: 1075.53052
author: Yu-Chung Chang
author: Yi-Jung Hsu
published in: Taiwanese Journal of Mathematics
publication date: 2005-03-21T00:00:00Z
review text: This paper proves a kind of gap theorem for Willmore surfaces in the sphere. Namely, if the square of the norm \(\Phi\) of the traceless second fundamental form is pinched between \(0\) and a certain constant depending on the length of the mean curvature vector, then \(\Phi\) can only have one of the extreme values. In each of the cases, the surfaces are classified. Several examples are also given.
reviewed by: Liviu Ornea
Mathematics Subject Classification ID: 53C42
Mathematics Subject Classification ID: 53A10
zbMATH DE Number: 2148909
zbMATH Keywords: Willmore surface
zbMATH Keywords: minimal submanifold
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.11650/twjm/1500407666
OpenAlex ID: W1824493671
DOI: 10.11650/TWJM/1500407666
description: scientific article; zbMATH DE number 2148909