Surfaces of \(M_k^2\times \mathbb R \) invariant under a one-parameter group of isometries
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Publication:2015003
DOI10.1007/S10231-012-0288-4zbMath1294.53053OpenAlexW2052799515MaRDI QIDQ2015003
Hilário Alencar, Renato Tribuzy, Manfredo Perdigão do Carmo
Publication date: 18 June 2014
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10231-012-0288-4
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Local submanifolds (53B25)
Cites Work
- A Hopf differential for constant mean curvature surfaces in \(\mathbb S^2 \times \mathbb R\) and \(\mathbb H^2 \times\mathbb R\)
- On a class of hypersurfaces in \(\mathbb{S}^n\times\mathbb{R}\) and \(\mathbb{H}^n\times\mathbb{R}\)
- Isometric immersions into 3-dimensional homogeneous manifolds
- A Hopf theorem for ambient spaces of dimensions higher than three
- Complete surfaces with positive extrinsic curvature in product spaces
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