Complete surfaces with negative extrinsic curvature in \(\mathbb M^2\times\mathbb R\)

DOI10.1016/j.jmaa.2014.10.002zbMath1307.53042OpenAlexW2040423115MaRDI QIDQ465423

José A. Gálvez, José L. Teruel

Publication date: 31 October 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.10.002

zbMATH Keywords

Riemannian surfaceextrinsic curvaturevertical graph

Mathematics Subject Classification ID

Global submanifolds (53C40) Local submanifolds (53B25)

Cites Work

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• 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
• Efimov's theorem in dimension greater than two
• Existence of barriers for surfaces with prescribed curvatures in \(\mathbb M^ 2{\times}\mathbb R\)
• Efimov's theorem about complete immersed surfaces of negative curvature
• Über Flächen mit eindeutiger Projektion auf eine Ebene, deren Krümmungen durch Ungleichungen eingeschränkt sind
• Surfaces à courbure extrinsèque négative dans l'espace hyperbolique

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