Bäcklund transformation on surfaces with \(K=-1\) in \(\mathbb{R}^{2,1}\)
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Publication:1362536
DOI10.1016/S0393-0440(96)00036-8zbMath0948.37054MaRDI QIDQ1362536
Publication date: 9 April 2000
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
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Related Items (12)
Some affine version of the Bäcklund theorem ⋮ On angles and pseudo-angles in Minkowskian planes ⋮ Bäcklund transformation for non-lightlike curves in Minkowski 3-space ⋮ Recursion Formulae for Obtaining Surfaces with Constant Mean Curvature in R 2,1 ⋮ On Backlund transformation and motion of null Cartan curves ⋮ Superposition formulae for the geometric Bäcklund transformations of the hyperbolic and elliptic sine-Gordon and sinh-Gordon equations ⋮ Isometric immersions of pseudo-Riemannian space forms ⋮ Time-like surfaces in the Lorentz-Minkowski space with prescribed Gaussian curvature and Gauss map ⋮ Darboux transformations on timelike constant mean curvature surfaces ⋮ 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
Cites Work
- A higher dimension generalization of the Sine-Gordon equation and its soliton theory
- Bäcklund's theorem for \(n\)-dimensional submanifolds of \(R^{2n-1}\)
- An analogue of Bäcklund's theorem in affine geometry
- The construction of hyperbolic surfaces in 3 dimensional minkowski space and sinh-laplace equation
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