Compact surfaces with constant Gaussian curvature in product spaces
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Publication:711437
DOI10.1007/S00009-010-0033-4zbMATH Open1201.53064OpenAlexW2092019543MaRDI QIDQ711437
Juan A. Aledo, José A. Pastor, Victorino Lozano
Publication date: 26 October 2010
Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00009-010-0033-4
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global Riemannian geometry, including pinching (53C20)
Cites Work
- A Hopf differential for constant mean curvature surfaces in \(\mathbb S^2 \times \mathbb R\) and \(\mathbb H^2 \times\mathbb R\)
- Complete surfaces of constant curvature in \(H^{2} \times \mathbb R\) and \(S^{2} \times \mathbb R\)
- Complete surfaces with positive extrinsic curvature in product spaces
- Examples and structure of CMC surfaces in some Riemannian and Lorentzian homogeneous spaces
- Surfaces with constant curvature in \(S^{2}\times \mathbb R\) and \(H^{2}\times \mathbb R\). Height estimates and representation
- Embedded isolated singularities of flat surfaces in hyperbolic 3-space
- On the scalar curvature of hypersurfaces in spaces with a Killing field
- Estimates in surfaces with positive constant Gauss curvature
Related Items (3)
Graph Surfaces Invariant by Parabolic screw Motions with Constant Curvature in $ \: \mathbb H^2 \times \mathbb R$ ⋮ Complete surfaces in the product spaces \(\mathbb{Q}_{\varepsilon}^{2}\times \mathbb{S}^{1}\) with constant Gaussian curvature ⋮ Complete surfaces with positive extrinsic curvature in product spaces
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