On the Cauchy problem for the integrable system of Lie minimal surfaces

DOI10.1063/1.2116267zbMath1111.58002OpenAlexW2045576234MaRDI QIDQ3438689

Emilio Musso, Lorenzo Nicolodi

Publication date: 16 May 2007

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.2116267

Mathematics Subject Classification ID

Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Exterior differential systems (Cartan theory) (58A15) Variational problems concerning minimal surfaces (problems in two independent variables) (58E12) Differential geometry of webs (53A60)

Related Items (3)

A class of overdetermined systems defined by tableaux: involutiveness and the Cauchy problem ⋮ Topologically embedded helicoidal pseudospherical cylinders ⋮ Critical Robertson-Walker universes

Cites Work

• Harmonic maps in unfashionable geometries
• Minimal tori in the five-dimensional sphere in \(\mathbb{C}^3\)
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• Lie sphere geometry and integrable systems.
• Integrable Hamiltonian systems and interactions through quadratic constraints
• Laguerre geometry of surfaces with plane lines of curvature
• A variational problem for surfaces in Laguerre geometry
• Web geometry
• On an old article of Tzitzeica and the inverse scattering method
• The affinspharen equation. Moutard and Backlund transformations
• ANALOG OF WILCZYNSKI'S PROJECTIVE FRAME IN LIE SPHERE GEOMETRY: LIE-APPLICABLE SURFACES AND COMMUTING SCHRÖDINGER OPERATORS WITH MAGNETIC FIELDS
• Hyper-complex four-manifolds from the Tzitzéica equation

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