The Euler characteristic of hypersurfaces in space forms and applications to isoparametric hypersurfaces


Abstract in English

We revisit Allendoerfer-Weils formula for the Euler characteristic of embedded hypersurfaces in constant sectional curvature manifolds, first taking some time to re-prove it while demonstrating techniques of [2] and then applying it to gain new understanding of isoparametric hypersurfaces.

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