On small-type formulae for curves in PSL\((2, \mathbb C)\)

DOI10.4171/RLM/656zbMath1280.53058MaRDI QIDQ374112

Lorenzo Nicolodi, Emilio Musso

Publication date: 28 October 2013

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

zbMATH Keywords

flat frontsconstant mean curvature one surfacesLegendrian curvesLie-Klein correspondencenull curves

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)

Related Items (2)

Conformal geometry of isotropic curves in the complex quadric ⋮ Legendrian curves in \(\mathbb{C} P^3\): cubics and curves on a quadric surface

Cites Work

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• Flat fronts in hyperbolic 3-space
• Meromorphic data for mean curvature one surfaces in hyperbolic three-space
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• Surfaces of Constant Mean Curvature 1 in  3 and Algebraic Curves on a Quadric
• Constant mean curvature one surfaces in hyperbolic 3-space using the Bianchi-Calò method
• Closed trajectories of a particle model on null curves in anti-de Sitter 3-space

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