Approximation by positive mean curvature immersions: frizzing
type: Item
instance of: scholarly article
title: Approximation by positive mean curvature immersions: frizzing
zbMATH Open document ID: 0555.53028
DOI: 10.1007/BF01388831
author: Marie-Louise Michelsohn
author: H. Blaine jun. Lawson
published in: Inventiones Mathematicae
publication date: 1984-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/143153
review text: This article studies case b) in the preceding review for immersions instead of embeddings: Let N be a compact manifold and \(f: N\to \bar M\) a hypersurface immersion into a Riemannian manifold \(\bar M\) equipped with a global unit normal vector field. Main result: There are immersions \(\tilde f:\) \(N\to \bar M\) with positive mean curvature which are arbitrarily close to f in the \(C^ 0\)-topology (and regularly isotopic to f, if dim N is even).
Mathematics Subject Classification ID: 53C40
Mathematics Subject Classification ID: 53C20
zbMATH DE Number: 3884912
zbMATH Keywords: hypersurface immersion
zbMATH Keywords: mean curvature
MaRDI profile type: Publication
cites work: Immersions with nowhere vanishing mean curvature vector
cites work: Embedding and surrounding with positive mean curvature
cites work: Submersions of open manifolds
cites work: Q5825483
description: scientific article; zbMATH DE number 3884912