On the structure of complete hypersurfaces in a Riemannian manifold of nonnegative curvature and \(L^2\) harmonic forms
type: Item
instance of: scholarly article
title: On the structure of complete hypersurfaces in a Riemannian manifold of nonnegative curvature and \(L^2\) harmonic forms
zbMATH Open document ID: 1263.53056
author: Jeong-Jin Kim
author: Gabjin Yun
published in: Archiv der Mathematik
publication date: 2013-05-07T00:00:00Z
Mathematics Subject Classification ID: 53C42
Mathematics Subject Classification ID: 53C21
Mathematics Subject Classification ID: 58A14
zbMATH DE Number: 6161241
zbMATH Keywords: end
zbMATH Keywords: immersed hypersurface
zbMATH Keywords: non-parabolic
zbMATH Keywords: stability condition
zbMATH Keywords: \(L^2\) harmonic form
MaRDI profile type: Publication
full work available at URL: s00013-013-0486-3
OpenAlex ID: W1971903935
Wikidata QID: Q115390098
cites work: Theorie du Potentiel sur les Graphes et les Varietes
cites work: The structure of stable minimal hypersurfaces in \(\mathbb{R}^{n+1}\)
cites work: The structure of complete stable minimal surfaces in 3-manifolds of non-negative scalar curvature
cites work: ON THE EXISTENCE OF POSITIVE FUNDAMENTAL SOLUTIONS OF THE LAPLACE EQUATION ON RIEMANNIAN MANIFOLDS
cites work: Stable minimal hypersurfaces in a nonnegatively curved manifold
cites work: An Estimate on the Ricci Curvature of a Submanifold and Some Applications
cites work: Q4820357
cites work: Harmonic functions and the structure of complete manifolds
cites work: Minimal hypersurfaces with finite index
cites work: Q4218995
cites work: Stability of minimal hypersurfaces
cites work: Rigidity of minimal submanifolds in hyperbolic space
cites work: Total scalar curvature and \(L^2\) harmonic 1-forms on a minimal hypersurface in Euclidean space
cites work: Q4102442
DOI: 10.1007/S00013-013-0486-3
description: scientific article; zbMATH DE number 6161241