A formulation of L-isothermic surfaces in three-dimensional Minkowski space

DOI10.1155/2018/3713248zbMath1486.37039OpenAlexW2887892465MaRDI QIDQ2330261

Paul Bracken

Publication date: 28 October 2019

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

Full work available at URL: https://doi.org/10.1155/2018/3713248

zbMATH Keywords

Minkowski spaceCartan structure equations

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Surfaces in Euclidean and related spaces (53A05) Non-Euclidean differential geometry (53A35)

Cites Work

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• On a formulation of certain integrable systems using hyperbolic numbers
• Determination of surfaces in three-dimensional Minkowski and Euclidean spaces based on solutions of the sinh-Laplace equation
• The Lamé equation in shell membrane theory
• A Bäcklund transformation for L-isothermic surfaces
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• Integrable systems from inelastic curve flows in 2– and 3– dimensional Minkowski space

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