Isoparametric functions on ℝⁿ×\mathbbM^m

2017/12/31 by Jurgen Julio-Batalla, Julio-Batalla, Jurgen
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Mathematical functions and polynomials #Numerical methods in inverse problems #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1801.00351

openalex publication_date 2017/12/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We classify the isoparametric functions on ℝⁿ×\mathbbM^m, n, m≥2, with compact level sets, where \mathbbM^m is a connected, closed Riemannian manifold of dimension m. Also, we classify the isoparametric hypersurfaces in \mathbbS²×ℝ² with constant principal curvatures.

Related

• Isoparametric Hypersurfaces of \mathbb Hⁿ×\mathbb R and \mathbb Sⁿ×\mathbb R
• Isoparametric hypersurfaces in \mathbbSⁿ× ℝ^m and ℍⁿ× ℝ^m
• Geometry of isoparametric hypersurfaces in Riemannian manifolds
• Isoparameteric hypersurfaces in a Randers sphere of constant flag curvature
• Isoparametric hypersurfaces and their application to special geometries