Notes on flat fronts in hyperbolic space

DOI10.1007/s00022-022-00628-4zbMath1491.53070arXiv2106.01168OpenAlexW4214578445WikidataQ115609505 ScholiaQ115609505MaRDI QIDQ2116831

Yanyan Li

Publication date: 18 March 2022

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.01168

zbMATH Keywords

hyperbolic spaceDarboux transformationWeierstrass representationflat frontcurved flatdiscrete surfacelinear Weingarten surface

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Differential geometry of submanifolds of Möbius space (53A31)

Related Items (2)

Discrete Weierstrass-type representations ⋮ Discrete cyclic systems and circle congruences

Cites Work

• Lie geometry of linear Weingarten surfaces
• A connection between flat fronts in hyperbolic space and minimal surfaces in Euclidean space
• Minimal Darboux transformations
• Lie geometry of flat fronts in hyperbolic space
• Flat surfaces in the hyperbolic 3-space
• Discrete channel surfaces
• Weierstrass-type representations
• Discrete flat surfaces and linear Weingarten surfaces in hyperbolic 3-space
• DISCRETE LINEAR WEINGARTEN SURFACES
• Discrete Differential Geometry
• Discrete linear Weingarten surfaces with singularities in Riemannian and Lorentzian spaceforms
• Lie sphere geometry. With applications to submanifolds
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