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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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Content<strong>The</strong> <strong>Chern</strong><strong>Conjecture</strong>Basics<strong>The</strong><strong>Conjecture</strong>ResultsGeneralizationsSummaryOutlookWe present a short history of the <strong>Chern</strong> conjecture forisoparametric hypersurfaces <strong>in</strong> spheres and generalizations.Ma<strong>in</strong> results will be presented and we summarize the progressfor this topic.

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