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Corpus ID: 231942629

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

@inproceedings{Albuquerque2021TheEC,
title={The Euler characteristic of hypersurfaces in space forms and applications to isoparametric hypersurfaces},
author={R. Albuquerque},
year={2021}
}

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