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>ResultsGeneralizationsSummaryOutlookFor the case n = 4 a partial result has been proven under theadditional assumption that M is a Willmore hypersurface, i.e. acritical po<strong>in</strong>t of the Willmore functional W (M) := ∫ M ρn withρ 2 = S − nH 2 .
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