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>Conjecture</strong><strong>The</strong> <strong>Chern</strong><strong>Conjecture</strong>Basics<strong>The</strong><strong>Conjecture</strong>ResultsGeneralizationsSummaryOutlook<strong>The</strong> <strong>Chern</strong> conjecture for isoparametric hypersurfaces <strong>in</strong>spheres can be stated as follows:Let M be a closed, m<strong>in</strong>imally immersed hypersurface of the(n + 1)-dimensional sphere S n+1 with constant scalarcurvature. <strong>The</strong>n M is isoparametric.
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