Conformal invariants for curves and surfaces in three dimensional space forms

DOI10.1216/rmjm/1181072381zbMath0829.53009OpenAlexW2035736156MaRDI QIDQ1343999

Lynette Webb, Grant Cairns, Richard Sharpe

Publication date: 9 February 1995

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072381

zbMATH Keywords

curvessurfacesconformal invariantsspace forms

Mathematics Subject Classification ID

Related Items (18)

CONFORMAL INVARIANCE OF THE WRITHE OF A KNOT ⋮ Short-time existence of the Möbius-invariant Willmore flow ⋮ On anomalous conformal Ward identities for Wilson loops on polygon-like contours with circular edges ⋮ Special canal surfaces of \({\mathbb{S}}^{3}\) ⋮ On the geometry of curves and conformal geodesics in the Möbius space ⋮ Canal foliations of \(\mathbb S^3\) ⋮ Conformal theory of curves with tractors ⋮ Minimal area surfaces in \(\mathrm{AdS}_{n+1}\) and Wilson loops ⋮ The geometry of conformal timelike geodesics in the Einstein universe ⋮ Conformal geometry of foliations ⋮ Generalized evolutes, vertices and conformal invariants of curves in \({\mathbb R}^{n+1}\). ⋮ Singularities for normal hypersurfaces of de Sitter timelike curves in Minkowski 4-space ⋮ Darboux curves on surfaces. II ⋮ Dupin cyclides osculating surfaces ⋮ The geometry of canal surfaces and the length of curves in de Sitter space ⋮ Osculation in General: An Approach ⋮ Conformal curvatures of curves in \(\mathbb R^{n+1}\) ⋮ Wilson loops for triangular contours with circular edges

Cites Work

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• Conformal Invariants of Submanifolds
• A Global Invariant of Conformal Mappings in Space
• An Invariant of Conformal Mappings
• The Conformal Theory of Curves
• The Conformal Theory of Curves
• Conformal Differential Geometry of a Subspace

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