On the Chern conjecture for isoparametric hypersurfaces
type: Item
instance of: scholarly article
title: On the Chern conjecture for isoparametric hypersurfaces
author: Zizhou Tang
author: Wenjiao Yan
published in: Science China. Mathematics
publication date: 2023-01-18T00:00:00Z
full work available at URL: https://arxiv.org/abs/2001.10134
Mathematics Subject Classification ID: 53C42
zbMATH DE Number: 7643640
zbMATH Keywords: isoparametric hypersurfaces
zbMATH Keywords: scalar curvature
zbMATH Keywords: the Chern conjecture
MaRDI profile type: Publication
OpenAlex ID: W3004048955
Wikidata QID: Q113900258
cites work: Sur des familles remarquables d'hypersurfaces isoparametriques dans les espaces spheriques
cites work: Isoparametric hypersurfaces with four principal curvatures
cites work: Geometry of Hypersurfaces
cites work: A closed hypersurface with constant scalar and mean curvatures in \(\mathbb{S}^ 4\) is isoparametric
cites work: On minimal hypersurfaces with constant scalar curvatures in \(S^ 4\)
cites work: Q4219011
cites work: Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length
cites work: Isoparametric hypersurfaces with four principal curvatures, II
cites work: Isoparametric hypersurfaces with four principal curvatures. III.
cites work: Isoparametric hypersurfaces with four principal curvatures. IV
cites work: Closed 3-dimensional hypersurfaces with constant mean curvature and constant scalar curvature
cites work: Closed Willmore minimal hypersurfaces with constant scalar curvature in \(\mathbb{S}^5(1)\) are isoparametric
cites work: On Chern's problem for rigidity of minimal hypersurfaces in the spheres
cites work: Isoparametric hypersurfaces, case g=6, m=1
cites work: Chern conjecture and isoparametric hypersurfaces
cites work: On the classification of isoparametric hypersurfaces with four distinct curvatures in spheres
cites work: Local rigidity theorems for minimal hypersurfaces
cites work: Closed minimal Willmore hypersurfaces of \(\mathbb S ^5 (1)\) with constant scalar curvature
cites work: Hyperbolic geometry: The first 150 years
cites work: Isoparametric hypersurfaces with \((g,m)=(6,2)\)
cites work: Errata to: ``Isoparametric hypersurfaces with \((g,m)=(6,2)\)''
cites work: Isoparametrische Hyperflächen in Sphären. I
cites work: Isoparametrische Hyperflächen in Sphären. II: Über die Zerlegung der Sphäre in Ballbündel
cites work: Q3317736
cites work: The scalar curvature of minimal hypersurfaces in spheres
cites work: On closed minimal hypersurfaces with constant scalar curvature in \(\mathbb{S}^7\)
cites work: Q5265961
cites work: Minimal varieties in Riemannian manifolds
cites work: THE SCALAR CURVATURE OF MINIMAL HYPERSURFACES IN A UNIT SPHERE
cites work: A sufficient condition for a hypersurface to be isoparametric
cites work: Isoparametric foliation and Yau conjecture on the first eigenvalue
cites work: Isoparametric foliation and a problem of Besse on generalizations of Einstein condition
cites work: Chern's conjecture on minimal hypersurfaces
cites work: Seminar on Differential Geometry. (AM-102)
cites work: Selected expository works of Shing-Tung Yau with commentary. Volume I
DOI: 10.1007/S11425-022-1967-4
description: scientific article; zbMATH DE number 7643640