Lie applicable surfaces and curved flats

DOI10.1007/s00229-021-01304-8zbMath1505.53019arXiv2007.11947OpenAlexW3156858724MaRDI QIDQ2148104

Mason Pember, Francis E. Burstall

Publication date: 21 June 2022

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.11947

zbMATH Keywords

Lie sphere geometryRibaucour transformDarboux transform

Mathematics Subject Classification ID

Local submanifolds (53B25) Other special differential geometries (53A40)

Related Items (2)

Constrained elastic curves and surfaces with spherical curvature lines ⋮ Discrete cyclic systems and circle congruences

Cites Work

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• Deformation and applicability of surfaces in Lie sphere geometry
• Curved flats in symmetric spaces
• On conformally flat hypersurfaces, curved flats and cyclic systems
• Curved flats and isothermic surfaces
• Lie sphere geometry and integrable systems.
• Lie applicable surfaces
• The Ribaucour transformation in Lie sphere geometry
• THE BIANCHI–DARBOUX TRANSFORM OF L-ISOTHERMIC SURFACES
• Lie sphere geometry. With applications to submanifolds

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