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Isoparametric Hypersurfaces With Four Principal Curvatures, IV

Quo-Shin Chi Washington University

TBD mathscidoc:1909.43003

J. Differential Geometry
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 Mu¨nzner. This completes the classification of isoparametric hypersurfaces in spheres that ´E. Cartan initiated in the late 1930s.
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@inproceedings{quo-shinisoparametric,
  title={Isoparametric Hypersurfaces With Four Principal Curvatures, IV},
  author={Quo-Shin Chi},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20190904092638920556480},
  booktitle={J. Differential Geometry},
}
Quo-Shin Chi. Isoparametric Hypersurfaces With Four Principal Curvatures, IV. In J. Differential Geometry. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20190904092638920556480.
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