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

DOI10.1007/s00025-022-01787-1zbMath1505.53076OpenAlexW4309195766MaRDI QIDQ2095508

Xiaozhen Wang, Xiaoge Lu, Peng Wang

Publication date: 17 November 2022

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-022-01787-1

zbMATH Keywords

hypersurfacescohomogeneity one\({\mathbb{S}}^2 \times{\mathbb{S}}^2 \)

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Local submanifolds (53B25)

Related Items (1)

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

Cites Work

• Isoparametric foliation and Yau conjecture on the first eigenvalue
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• Sur des familles remarquables d'hypersurfaces isoparametriques dans les espaces spheriques
• Surfaces with parallel mean curvature vector in $\mathbb{S}^{2}×\mathbb{S}^{2}$ and $\mathbb{H}^{2}×\mathbb{H}^{2}$
• Real Hypersurfaces and Complex Submanifolds in Complex Projective Space

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