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arXiv · 2102.08712

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

R. Albuquerque
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Abstract

We revisit Allendoerfer-Weil's 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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R. Albuquerque. 2021-02-17. The Euler characteristic of hypersurfaces in space forms and applications to isoparametric hypersurfaces. https://doi.org/10.2140/pjm.2021.312.257

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