New complete embedded minimal surfaces in \({\mathbb {H} ^2\times \mathbb {R}}\)

DOI10.1007/s10455-011-9251-7zbMath1242.53074OpenAlexW2076833314MaRDI QIDQ634703

Juncheol Pyo

Publication date: 16 August 2011

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10455-011-9251-7

zbMATH Keywords

finite total curvatureproduct spacecomplete minimal surface

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Non-Euclidean differential geometry (53A35)

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Cites Work

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• Totally umbilic surfaces in homogeneous 3-manifolds
• The topology of complete minimal surfaces of finite total Gaussian curvature
• Uniqueness, symmetry, and embeddedness of minimal surfaces
• New minimal surfaces in S 3
• The triply periodic minimal surfaces of Alan Schoen and their constant mean curvature companions
• Minimal surfaces in \(M^2\times \mathbb{R}\)
• Minimal surfaces in \(\mathbb{H}^2\times\mathbb{R}\).
• Minimal surfaces in \(\mathbb{R}^ 3\) with dihedral symmetry
• PARABOLIC AND HYPERBOLIC SCREW MOTION SURFACES IN ℍ²×ℝ
• Isometric immersions into $\mathbb {S}^n\times \mathbb {R}$ and $\mathbb {H}^n\times \mathbb {R}$ and applications to minimal surfaces

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