Special canal surfaces of \({\mathbb{S}}^{3}\)

DOI10.1007/s00574-011-0016-5zbMath1252.53012OpenAlexW2010188568MaRDI QIDQ420550

Rémi Langevin, Adam Bartoszek, Paweł G. Walczak

Publication date: 22 May 2012

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00574-011-0016-5

zbMATH Keywords

Dupin cyclidecanal surfaceconformal curvatures

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05)

Related Items

Darboux curves on surfaces. II, Dupin cyclides osculating surfaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A duality theorem for Willmore surfaces
• Minimal rational parametrizations of canal surfaces
• Conformal invariants for curves and surfaces in three dimensional space forms
• Computing rational parametrizations of canal surfaces
• Conformal arc-length as \(\frac 1 2 \)-dimensional length of the set of osculating circles
• Conformal geometry of foliations
• Analytic and algebraic properties of canal surfaces
• On the inversive differential geometry of plane curves
• Foliations by surfaces of a peculiar class
• Conformal Differential Geometry of a Subspace