Lie geometry of linear Weingarten surfaces

DOI10.1016/j.crma.2012.03.018zbMath1252.53018OpenAlexW1996108488MaRDI QIDQ424759

Udo Hertrich-Jeromin, Francis E. Burstall, Wayne Rossman

Publication date: 4 June 2012

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2012.03.018

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Local differential geometry of Lorentz metrics, indefinite metrics (53B30) Other special differential geometries (53A40)

Related Items (12)

On Bäcklund and Ribaucour transformations for surfaces with constant negative curvature ⋮ Isothermic triangulated surfaces ⋮ Construction of discrete constant mean curvature surfaces in Riemannian spaceforms and applications ⋮ Channel linear Weingarten surfaces in space forms ⋮ Constrained elastic curves and surfaces with spherical curvature lines ⋮ Polynomial conserved quantities of Lie applicable surfaces ⋮ Channel surfaces in Lie sphere geometry ⋮ Discrete special isothermic surfaces ⋮ Discrete constant mean curvature nets in space forms: Steiner's formula and Christoffel duality ⋮ Weierstrass-type representations ⋮ DISCRETE LINEAR WEINGARTEN SURFACES ⋮ Notes on flat fronts in hyperbolic space

Cites Work

• Maximal surfaces in the 3-dimensional Minkowski space \(L^ 3\)
• Deformation and applicability of surfaces in Lie sphere geometry
• Lie geometry of flat fronts in hyperbolic space
• Orientability of linear Weingarten surfaces, spacelike CMC-1 surfaces and maximal surfaces
• L-isothermic and L-minimal surfaces

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