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June 2020 Isoparametric hypersurfaces with four principal curvatures, IV
Quo-Shin Chi
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J. Differential Geom. 115(2): 225-301 (June 2020). DOI: 10.4310/jdg/1589853626

Abstract

We prove that an isoparametric hypersurface with four principal curvatures and multiplicity pair $(7, 8)$ is either the one constructed by Ozeki and Takeuchi, or one of the two constructed by Ferus, Karcher, and Münzner. This completes the classification of isoparametric hypersurfaces in spheres that É. Cartan initiated in the late 1930s.

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Quo-Shin Chi. "Isoparametric hypersurfaces with four principal curvatures, IV." J. Differential Geom. 115 (2) 225 - 301, June 2020. https://doi.org/10.4310/jdg/1589853626

Information

Received: 14 July 2016; Published: June 2020
First available in Project Euclid: 19 May 2020

zbMATH: 07210961
MathSciNet: MR4100704
Digital Object Identifier: 10.4310/jdg/1589853626

Subjects:
Primary: 53C40

Rights: Copyright © 2020 Lehigh University

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Vol.115 • No. 2 • June 2020
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