Darboux transformations on timelike constant mean curvature surfaces

DOI10.1016/S0393-0440(99)00011-XzbMath0980.53009MaRDI QIDQ1808709

Jun-Ichi Inoguchi

Publication date: 25 February 2002

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

zbMATH Keywords

loop groupBäcklund transformationstimelike surfaceDarboux transformationDarboux matrix

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (9)

Lorentz-conformal transformations in the plane ⋮ On transforms of timelike isothermic surfaces in pseudo-Riemannian space forms ⋮ The complete classification of a class of conformally flat Lorentzian hypersurfaces in ℝ14 ⋮ Isometric immersions of pseudo-Riemannian space forms ⋮ Time-like surfaces in the Lorentz-Minkowski space with prescribed Gaussian curvature and Gauss map ⋮ Time-like linear Weingarten surfaces in Lorentzian space forms ⋮ BÄCKLUND TRANSFORMATIONS AND LAX PAIRS FOR THE NONLINEAR KLEIN–GORDON EQUATION WITH SYMBOLIC COMPUTATION ⋮ On time-like surfaces of positive constant Gaussian curvature and imaginary principal curvatures ⋮ Bäcklund theorems in three-dimensional de Sitter space and anti-de Sitter space

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