Isometric immersions into \(\mathbb{S}^m \times \mathbb{R}\) and \(\mathbb{H}^m \times \mathbb{R}\) with high codimensions

DOI10.1007/S00025-010-0031-7zbMath1193.53134OpenAlexW2044371068MaRDI QIDQ977713

Qun Chen, Qing Cui

Publication date: 23 June 2010

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

Full work available at URL: https://doi.org/10.1007/s00025-010-0031-7

zbMATH Keywords

isometric immersionsfundamental equations of submanifolds

Mathematics Subject Classification ID

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

Related Items (2)

Isometric immersions of higher codimension into the product \(S^k {\times} H^{n+p-k}\) ⋮ Four classes of surfaces with constant mean curvature in \(S^3\times\mathbb R\) and \(H^3\times\mathbb R\)

Cites Work

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• Isometric immersions into 3-dimensional homogeneous manifolds
• On the recovery of a surface with prescribed first and second fundamental forms.
• Generalized cylinders in semi-Riemannian and spin geometry
• An existence theorem for $G$-structure preserving affine immersions
• On isometric immersions of riemannian manifolds

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