Bäcklund transformations for surfaces in Minkowski space

DOI10.1063/1.528939zbMath0722.53058OpenAlexW2011580149MaRDI QIDQ3209803

Bennett Palmer

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1063/1.528939

zbMATH Keywords

Minkowski spaceconstant negative curvatureBäcklund transformationspacelike surfacestimelike surfaces

Mathematics Subject Classification ID

Global submanifolds (53C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (11)

Timelike \(W\)-surfaces in Minkowski 3-space \(\mathbb{R}_1^3\) and the sinh-Gordon equation ⋮ On angles and pseudo-angles in Minkowskian planes ⋮ Bäcklund transformations of linear Weingarten surfaces in Minkowski three-space ⋮ Superposition formulae for the geometric Bäcklund transformations of the hyperbolic and elliptic sine-Gordon and sinh-Gordon equations ⋮ On geometric interpretation of pseudo-angle in Minkowski plane ⋮ Isometric immersions of pseudo-Riemannian space forms ⋮ Darboux transformations on timelike constant mean curvature surfaces ⋮ Unnamed Item ⋮ 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 ⋮ On generalized Bäcklund transformations for equations describing pseudo-spherical surfaces

Cites Work

• Solitonlike solutions of the elliptic sine–cosine equation by means of harmonic functions

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