Willmore surfaces in \(S^n\)
type: Item
instance of: scholarly article
title: Willmore surfaces in \(S^n\)
zbMATH Open document ID: 1008.53051
DOI: 10.1023/A:1014759309675
published in: Annals of Global Analysis and Geometry
publication date: 2002-06-09T00:00:00Z
review text: The author establishes an integral inequality for compact Willmore surfaces in the \(n\)-dimensional unit sphere \(S^n\) and obtains a new characterization of the Veronese surface in \(S^4\) as a Willmore surface. In the special case where the Willmore surface is minimal the result is reduced to a well-known result, see \textit{K. Benko}, \textit{M. Kothe}, \textit{K.-D. Semmler} and \textit{U. Simon} [Colloq. Math. 42, 19-31 (1979; Zbl 0437.53032)] or \textit{M. Kozlowski} and \textit{U. Simon} [Math. Z. 186, 377-382 (1984; Zbl 0543.53045)].
Mathematics Subject Classification ID: 53C42
Mathematics Subject Classification ID: 53A10
zbMATH DE Number: 1752568
zbMATH Keywords: pinching
zbMATH Keywords: Willmore surfaces
zbMATH Keywords: Veronese surface
author: Haizhong Li
reviewed by: T. Koufogiorgos
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1752568