Projective planes and isoparametric hypersurfaces
type: Item
instance of: scholarly article
title: Projective planes and isoparametric hypersurfaces
zbMATH Open document ID: 0839.53044
DOI: 10.1007/BF01265638
author: Norbert Knarr
author: Linus Kramer
published in: Geometriae Dedicata
publication date: 1996-02-01T00:00:00Z
review text: The authors use so-called topological projective geometry to reprove the well-known classification of isoparametric hypersurfaces in spheres with three different principal curvatures, see \textit{E. Cartan} [Math. Z. 45, 335-367 (1939; Zbl 0021.15603)].
Mathematics Subject Classification ID: 53C42
Mathematics Subject Classification ID: 51H25
zbMATH DE Number: 826780
zbMATH Keywords: topological projective planes
zbMATH Keywords: isoparametric hypersurfaces in spheres
reviewed by: Gudlaugur Thorbergsson
MaRDI profile type: Publication
cites work: Projektive Ebenen, die Mannigfaltigkeiten sind. (Projective planes, which are manifolds)
cites work: Q3729588
cites work: Symmetric submanifolds of Euclidean space
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cites work: SUBMANIFOLDS WITH CONSTANT PRINCIPAL CURVATURES AND NORMAL HOLONOMY GROUPS
cites work: Q3822806
cites work: Homogeneous compact projective planes.
cites work: Q4772431
cites work: Critical point theory and submanifold geometry
cites work: Topological projective planes
cites work: Homogene kompakte projektive Ebenen
cites work: Isoparametric foliations and their buildings
description: scientific article; zbMATH DE number 826780