Isoparametric hypersurfaces in product spaces

DOI10.1016/j.difgeo.2023.102005zbMath1520.53007arXiv2209.09072OpenAlexW4362631195MaRDI QIDQ6044451

João Paulo Dos Santos, João Batista Marques dos Santos

Publication date: 19 May 2023

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.09072

zbMATH Keywords

isoparametric hypersurfacesproduct spacesparallel CMC-hypersurfaces

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Global submanifolds (53C40) Differential geometry of symmetric spaces (53C35) Differentiable structures in differential topology (57R55)

Related Items (1)

On hypersurfaces of \(\mathbb{H}^2 \times \mathbb{H}^2\)

Cites Work

• Unnamed Item
• Isoparametric hypersurfaces in Damek-Ricci spaces
• Constant angle surfaces in product spaces
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• A filtration for isoparametric hypersurfaces in Riemannian manifolds
• Isoparametric functions on \(\mathbb{R}^n \times \mathbb{M}^m\)
• On hypersurfaces of \(\mathbb{S}^2 \times \mathbb{S}^2\)
• Submanifolds and Holonomy
• Isoparametric surfaces in $E(\kappa,\tau)$-spaces
• A nonisoparametric hypersurface with constant principal curvatures

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