A gap theorem on submanifolds with finite total curvature in spheres
type: Item
instance of: scholarly article
title: A gap theorem on submanifolds with finite total curvature in spheres
zbMATH Open document ID: 1314.53103
author: Peng Zhu
author: Shouwen Fang
published in: Journal of Mathematical Analysis and Applications
publication date: 2015-03-27T00:00:00Z
Mathematics Subject Classification ID: 53C40
zbMATH DE Number: 6420178
zbMATH Keywords: \(L^2\)-harmonic form
zbMATH Keywords: total curvature
zbMATH Keywords: submanifolds
MaRDI profile type: Publication
full work available at URL: j.jmaa.2013.11.064
OpenAlex ID: W2014453211
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cites work: Q4764210
cites work: Harmonic functions and the structure of complete manifolds
cites work: Rigidity of minimal submanifolds in hyperbolic space
cites work: \(L^ 2\) harmonic forms and stability of minimal hypersurfaces
cites work: On the \(L^2\)-cohomology of a convex cocompact hyperbolic manifold
cites work: Total scalar curvature and \(L^2\) harmonic 1-forms on a minimal hypersurface in Euclidean space
cites work: \(L ^{2}\)-harmonic forms and stable hypersurfaces in space forms
DOI: 10.1016/J.JMAA.2013.11.064
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description: scientific article; zbMATH DE number 6420178