On the Blaschke isoparametric hypersurfaces in the unit sphere
type: Item
instance of: scholarly article
title: On the Blaschke isoparametric hypersurfaces in the unit sphere
zbMATH Open document ID: 1177.53016
publication date: 2009-11-11T00:00:00Z
Mathematics Subject Classification ID: 53A30
Mathematics Subject Classification ID: 53B25
zbMATH DE Number: 5629530
zbMATH Keywords: Möbius form
zbMATH Keywords: Blaschke eigenvalues
zbMATH Keywords: Blaschke tensor
zbMATH Keywords: Möbius metric
zbMATH Keywords: Möbius second fundamental form
author: Xingxiao Li
author: Feng Yun Zhang
MaRDI profile type: Publication
full work available at URL: s10114-008-7122-3
OpenAlex ID: W2163859751
Wikidata QID: Q125307565
cites work: Moebius geometry of submanifolds in \(\mathbb{S}^n\)
cites work: Willmore hypersurfaces in a sphere
cites work: Willmore submanifolds in a sphere.
cites work: Q4889886
cites work: A conformal differential invariant and the conformal rigidity of hypersurfaces
cites work: Möbius geometry of hypersurfaces with constant mean curvature and scalar curvature
cites work: A Möbius characterization of submanifolds in real space forms with parallel mean curvature and constant scalar curvature
cites work: Classification of hypersurfaces with parallel Möbius second fundamental form in \(S^{n+1}\)
cites work: Möbius isoparametric hypersurfaces in \(S^{n+1}\) with two distinct principal curvatures
cites work: Classification of Möbius Isoparametric Hypersurfaces in 4
cites work: Möbius isotropic submanifolds in \(\mathbb{S}^n\)
cites work: A classification of immersed hypersurfaces in spheres with parallel Blaschke tensors
cites work: A rigidity theorem for hypersurfaces with positive Möbius Ricci curvature in \(S^{n+1}\)
cites work: Submanifolds with constant Möbius scalar curvature in \(S^n\)
cites work: Surfaces with vanishing Möbius form in \(S^n\).
cites work: A Moebius characterization of Veronese surfaces in \(S^n\)
cites work: The second variational formula for Willmore submanifolds in \(S^n\).
cites work: Hypersurfaces with constant scalar curvature in space forms
cites work: Laguerre geometry of surfaces in \(\mathbb R^3\)
cites work: Immersed hypersurfaces in the unit sphere \(S^{m+1}\) with constant Blaschke eigenvalues
DOI: 10.1007/S10114-008-7122-3
published in: Acta Mathematica Sinica, English Series
description: scientific article; zbMATH DE number 5629530