On the instability of minimal submanifolds in Riemannian manifolds of positive curvature
type: Item
instance of: scholarly article
title: On the instability of minimal submanifolds in Riemannian manifolds of positive curvature
zbMATH Open document ID: 0642.53065
DOI: 10.1007/BF01161992
author: Takashi Okayasu
published in: Mathematische Zeitschrift
publication date: 1989-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/174032
review text: First we show that minimal closed surfaces in sufficiently pinched, simply-connected Riemannian manifolds are unstable. This is a partial affirmative answer to the conjecture of Lawson and Simons. Next we give a sufficient condition for a relatively compact domain in a Riemannian manifold minimally immersed in a manifold of positive curvature, to be unstable.
Mathematics Subject Classification ID: 53C42
Mathematics Subject Classification ID: 58E12
zbMATH DE Number: 4046603
zbMATH Keywords: minimal closed surfaces
zbMATH Keywords: manifold of positive curvature
zbMATH Keywords: stability
Wikidata QID: Q115393981
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4046603