Holomorphic differentials and Laguerre deformation of surfaces

DOI10.1007/s00209-016-1689-7zbMath1356.53019arXiv1401.1776OpenAlexW3100319772MaRDI QIDQ343644

Lorenzo Nicolodi, Emilio Musso

Publication date: 28 November 2016

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.1776

zbMATH Keywords

minimal surfacesconstant mean curvature surfacesmaximal surfacesLawson correspondence\(L\)-isothermic surfacesisotropic geometryLaguerre Gauss mapLaguerre minimal surfacesLaguerre surface geometry

Mathematics Subject Classification ID

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

Related Items

Quartic differentials and harmonic maps in conformal surface geometry, \(G\)-deformations of maps into projective space, Polynomial conserved quantities of Lie applicable surfaces, Marginally outer trapped surfaces in de Sitter space by low-dimensional geometries, Laguerre isoparametric and Dupin hypersurfaces in \(\mathbb {R}^n\), Topologically embedded helicoidal pseudospherical cylinders, Weierstrass-type representations

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