Complete surfaces of constant curvature in \(H^{2} \times \mathbb R\) and \(S^{2} \times \mathbb R\)
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Publication:885809
DOI10.1007/s00526-006-0067-4zbMath1119.53039OpenAlexW2079394849MaRDI QIDQ885809
José M. Espinar, José A. Gálvez, Juan A. Aledo
Publication date: 14 June 2007
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00526-006-0067-4
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40)
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Cites Work
- A Hopf differential for constant mean curvature surfaces in \(\mathbb S^2 \times \mathbb R\) and \(\mathbb H^2 \times\mathbb R\)
- Abstract Weingarten surfaces
- An introduction to Lorentz surfaces
- A theorem of Hopf and the Cauchy-Riemann inequality
- Globale Tschebyscheff-Netze auf Riemannschen Mannigfaltigkeiten und Fortsetzung von Flächen konstanter negativer Krümmung
- Invariant surfaces of a three-dimensional manifold with constant Gauss curvature
- A characterization of constant mean curvature surfaces in homogeneous 3-manifolds
- Some Uses of the Second Conformal Structure on Strictly Convex Surfaces
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