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

DOI10.4310/CAG.2019.v27.n6.a7zbMath1429.53078arXiv1606.07595OpenAlexW3035474424MaRDI QIDQ2280303

Francisco Urbano

Publication date: 18 December 2019

Published in: Communications in Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.07595

zbMATH Keywords

isoparametric hypersurfacesconstant principal curvatureshomogeneousGauss-Kronecker curvature

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (12)

Isoparametric hypersurfaces in product spaces ⋮ Homogeneous hypersurfaces in symmetric spaces ⋮ Classification of semi-parallel hypersurfaces of the product of two spheres ⋮ Isoparametric hypersurfaces of Riemannian manifolds as initial data for the mean curvature flow ⋮ On Hopf hypersurfaces of \(\mathbb{S}^2 \times \mathbb{S}^2\) and \(\mathbb{H}^2 \times \mathbb{H}^2\) ⋮ On hypersurfaces of \(\mathbb{H}^2 \times \mathbb{H}^2\) ⋮ Null hypersurfaces in 4-manifolds endowed with a product structure ⋮ Submanifold geometry in symmetric spaces of noncompact type ⋮ Minimal hypersurfaces in the product of two spheres with index one ⋮ Isoparametric surfaces in $E(\kappa,\tau)$-spaces ⋮ On the geometry of hypersurfaces in \({\mathbb{S}}^2 \times{\mathbb{S}}^2 \) ⋮ On real hypersurfaces of 𝕊²×𝕊²

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