Submanifolds with constant Möbius scalar curvature in \(S^n\)
type: Item
instance of: scholarly article
title: Submanifolds with constant Möbius scalar curvature in \(S^n\)
zbMATH Open document ID: 1041.53007
author: Haizhong Li
author: Zejun Hu
published in: Manuscripta Mathematica
publication date: 2003-08-17T00:00:00Z
review text: The authors prove a rigidity theorem for an \(m\)-dimensional submanifold \(M^m\) of an \(n\)-dimensional conformal space \(C^n\). Note that for hypersurfaces in \(C^n\) a rigidity theorem was proved by \textit{M. A. Akivis} and \textit{V. V. Goldberg} [Proc. Am. Math. Soc. 125, No. 8, 2415--2424 (1997; Zbl 0887.53030)], or the book [\textit{M. A. Akivis} and \textit{V. V. Goldberg}, Conformal Differential Geometry and Its Generalizations, Wiley, New York (1996; Zbl 0863.53002)] and for submanifolds in a Euclidean \(n\)-space such a theorem was proved by \textit{H. Li} [Math. Ann. 305, No. 4, 665--672 (1996; Zbl 0864.53040)].
Mathematics Subject Classification ID: 53A30
zbMATH DE Number: 1965506
zbMATH Keywords: rigidity
zbMATH Keywords: conformal space
zbMATH Keywords: Möbius space
zbMATH Keywords: hypersurface
zbMATH Keywords: scalar curvature
reviewed by: Vladislav V. Goldberg
MaRDI profile type: Publication
full work available at URL: s00229-003-0368-2
OpenAlex ID: W141265297
DOI: 10.1007/S00229-003-0368-2
description: scientific article; zbMATH DE number 1965506