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arXiv:2102.08712 [math.DG]AbstractReferencesReviewsResources

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

R. Albuquerque

Published 2021-02-17Version 1

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.

Comments: Article dedicated to the commemorations of the 500th anniversary of the first global circumnavigation voyage by the Portuguese and Spanish navigators
Categories: math.DG
Subjects: 53C35, 57R20, 53C17, 58A15
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