Hypersurfaces of a sphere with 3-type quadric representation
type: Item
instance of: scholarly article
title: Hypersurfaces of a sphere with 3-type quadric representation
zbMATH Open document ID: 0812.53049
author: Jitan Lu
published in: Kodai Mathematical Journal
publication date: 1994-12-19T00:00:00Z
review text: The author investigates compact minimal hypersurfaces of a unit \((n+1)\)- sphere which have 3-type quadric representation and obtains the following results. Theorem 1. If \(M\) is a compact minimal hypersurface of a unit \((n + 1)\)-sphere with 3-type quadric representation, then the length of the second fundamental form of \(M\) in the sphere is constant. Theorem 2. There does not exist a compact minimal surface in the unit 3-sphere with 3-type quadric representation.
reviewed by: Bang-Yen Chen
Mathematics Subject Classification ID: 53C42
zbMATH DE Number: 701571
zbMATH Keywords: finite type immersion
zbMATH Keywords: 3-type immersion
zbMATH Keywords: minimal hypersurfaces
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2996/kmj/1138039967
OpenAlex ID: W2025149863
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cites work: Q3322795
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cites work: Finite type hypersurfaces of a sphere
cites work: Quadric Representation of a Submanifold
DOI: 10.2996/KMJ/1138039967
description: scientific article; zbMATH DE number 701571