ANALOG OF WILCZYNSKI'S PROJECTIVE FRAME IN LIE SPHERE GEOMETRY: LIE-APPLICABLE SURFACES AND COMMUTING SCHRÖDINGER OPERATORS WITH MAGNETIC FIELDS

DOI10.1142/S0129167X0200154XzbMath1052.53018arXivmath/0104034MaRDI QIDQ4807427

Evgeny V. Ferapontov

Publication date: 18 May 2003

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0104034

Mathematics Subject Classification ID

Projective differential geometry (53A20) Other special differential geometries (53A40)

Related Items (4)

Deformation and applicability of surfaces in Lie sphere geometry ⋮ On discrete differential geometry in twistor space ⋮ Constrained elastic curves and surfaces with spherical curvature lines ⋮ On the Cauchy problem for the integrable system of Lie minimal surfaces

Cites Work

• Dupin hypersurfaces
• Dupin'sche Hyperflächen in \(E^ 4\). (Dupin hypersurfaces in \(E^ 4)\)
• Surfaces of Demoulin: Differential geometry, Bäcklund transformation and integrability
• Lie sphere geometry and integrable systems.
• INTEGRABLE SYSTEMS IN PROJECTIVE DIFFERENTIAL GEOMETRY
• Integrable Schrödinger operators with magnetic fields: Factorization method on curved surfaces

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