A Variational Problem and Classification Theorem for Extremal Hypersurfaces in the Space Form

The classification of the isoparametric extremal hypersurfaces in the space form is obtained in this paper. We also derived the Euler-Lagrange equation for extremal hypersurface and obtained Simons’ type integral inequality. When the integral equality holds, we can obtain the characteristics of isop...

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Bibliographic Details
Main Author: Yu-Chung Chang
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2022/5881125
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