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>ResultsGeneralizationsSummaryOutlookA hypersurface <strong>in</strong> a space of constant curvature c is calledisoparametric, if all the λ i are constant functions.In R n+1 all the isoparametric hypersurfaces are hyperspheres,hyperplanes or (generalized) cyl<strong>in</strong>ders S k × R n−k . In the sphereS n+1 we could expect “much more” of such hypersurfaces.
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