New minimal surfaces in the hyperbolic space

DOI10.1007/s11425-016-0356-1zbMath1390.53057OpenAlexW2605850650MaRDI QIDQ1701254

Ning Wei Cui, Keti Tenenblat

Publication date: 22 February 2018

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-016-0356-1

zbMATH Keywords

hyperbolic spaceminimal surfacesRibaucour transformations

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items

Ribaucour transformations and their singularities

Cites Work

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• A connection between flat fronts in hyperbolic space and minimal surfaces in Euclidean space
• Complete minimal surfaces in hyperbolic space
• Willmore tori with umbilic lines and minimal surfaces in hyperbolic space
• Weierstrass representation for minimal surfaces in hyperbolic space
• Ribaucour transformations revisited
• Minimal surfaces obtained by Ribaucour transformations
• Ribaucour transformations for constant mean curvature and linear Weingarten surfaces.
• Ribaucour transformations for flat surfaces in the hyperbolic 3-space
• New constant mean curvature surfaces in the hyperbolic space
• Ribaucour transformations for hypersurfaces in space forms
• Complete minimal surfaces in \(S^ 3\)
• Lawson correspondence and Ribaucour transformations
• Rotation Hypersurfaces in Spaces of Constant Curvature