Harmonic sections normal to submanifolds and their stability
type: Item
instance of: scholarly article
title: Harmonic sections normal to submanifolds and their stability
zbMATH Open document ID: 1060.53070
author: Kazuyuki Hasegawa
published in: Tokyo Journal of Mathematics
publication date: 2005-03-14T00:00:00Z
review text: The author studies harmonic sections normal to submanifolds. The lower bounds of the index for harmonic sections which are normal to submanifolds are given in terms of intrinsic quantities of submanifolds. Moreover the stability of harmonic sections for constant mean curvature hypersurfaces in the unit spheres are studied.
reviewed by: Cihan Özgür
Mathematics Subject Classification ID: 53C43
Mathematics Subject Classification ID: 53C42
zbMATH DE Number: 2145303
zbMATH Keywords: energy of section
zbMATH Keywords: harmonic section
zbMATH Keywords: constant mean curvature hypersurface
zbMATH Keywords: minimal Legendrian submanifold
zbMATH Keywords: extrinsic sphere
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.3836/tjm/1244208401
OpenAlex ID: W1977839492
Wikidata QID: Q125661858
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DOI: 10.3836/TJM/1244208401
description: scientific article; zbMATH DE number 2145303