Isoparametric Hypersurfaces of \mathbb Hⁿ×\mathbb R and \mathbb Sⁿ×\mathbb R

2024/11/18 by Ronaldo F. de Lima, de Lima, Ronaldo F., Giuseppe Pipoli +1
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Holomorphic and Operator Theory #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.2411.11506

openalex publication_date 2024/11/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We classify the isoparametric hypersurfaces and the homogeneous hypersurfaces of \mathbb Hⁿ×\mathbb R and \mathbb Sⁿ×\mathbb R, n≥ 2, by establishing that any such hypersurface has constant angle function and constant principal curvatures.

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