Please use this identifier to cite or link to this item: http://hdl.handle.net/10174/30981

Title: The Euler characteristic of hypersurfaces in space forms and its application to isoparametric hypersurfaces
Authors: Albuquerque, Rui
Editors: Blasius, Don
Keywords: Euler characteristic
hypersurface
mean curvatures
space form
isoparametric
Issue Date: 2021
Publisher: Mathematical Sciences Publishers
Citation: The Euler characteristic of hypersurfaces in space forms and its application to isoparametric hypersurfaces, Pacific Journal of Mathematics, Vol. 312, No. 2, 2021, pp. 257-277, https://doi.org/10.2140/pjm.2021.312.257
Abstract: We revisit the Allendoerfer–Weil formula for the Euler characteristic of embedded hypersurfaces in constant sectional curvature manifolds, taking time to re-prove it while demonstrating techniques of ([http://hdl.handle.net/10174/26893]) and then applying it to gain new understanding of isoparametric hypersurfaces.
URI: https://arxiv.org/abs/2102.08712
http://hdl.handle.net/10174/30981
Type: article
Appears in Collections:CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica

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