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Isoparametric Hypersurfaces in Sn+1: The Chern Conjecture

Isoparametric Hypersurfaces in Sn+1: The Chern Conjecture

Isoparametric Hypersurfaces in Sn+1: The Chern Conjecture

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<strong>The</strong> <strong>Chern</strong><strong>Conjecture</strong>Basics<strong>The</strong><strong>Conjecture</strong>ResultsGeneralizationsSummaryOutlook<strong>The</strong>orem (Scherfner, Sousa Jr. 2009)Let M ⊂ S 5 be a closed m<strong>in</strong>imal Willmore hypersurface withconstant scalar curvature. <strong>The</strong>n M is isoparametric.

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