Isoparametric hypersurfaces in product spaces

2022/09/19 by Santos, João Batista Marques dos, Santos, João Paulo dos · 2 citations
#53C40 (Primary) #53C42 (Secondary) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2209.09072

Abstract

In this paper, we characterize and classify the isoparametric hypersurfaces with constant principal curvatures in the product spaces ℚ²_c₁ × ℚ²_c₂, where ℚ²_c_i is a space form with constant sectional curvature c_i, for c₁ ≠ c₂.

Cited by

• Isoparametric Hypersurfaces in Products of Simply Connected Space Forms
• Isoparametric hypersurfaces in \mathbbSⁿ× ℝ^m and ℍⁿ× ℝ^m

Related

• Isoparametric Hypersurfaces in product spaces of space forms
• Isoparametric Hypersurfaces in Products of Simply Connected Space Forms
• Isoparametric hypersurfaces in \mathbbSⁿ× ℝ^m and ℍⁿ× ℝ^m
• Hypersurfaces with constant principal curvatures in \mathbbSⁿ×ℝ and ℍⁿ×ℝ
• Isoparametric hypersurfaces and hypersurfaces with constant principal curvatures in Finsler spaces