scientific article; zbMATH DE number 7161234
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Publication:5213072
zbMath1431.53007MaRDI QIDQ5213072
Publication date: 31 January 2020
Full work available at URL: http://www.spm.uem.br/bspm/pdf/vol38-1/1.pdf
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Bäcklund transformationssine-Gordon equationRibaucour transformationshyperbolic linear Weingarten surfaces
Second-order nonlinear hyperbolic equations (35L70) Soliton equations (35Q51) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Surfaces in Euclidean and related spaces (53A05) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
Cites Work
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- On Bäcklund and Ribaucour transformations for surfaces with constant negative curvature
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- The geometry of properly embedded special surfaces in \(\mathbb{R}^ 3\); e.g., surfaces satisfying \(aH+bK=1\), where \(a\) and \(b\) are positive
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- Minimal surfaces obtained by Ribaucour transformations
- Linear Weingarten surfaces in \(\mathbb R^3\)
- Ribaucour transformations for constant mean curvature and linear Weingarten surfaces.
- Ribaucour transformations for flat surfaces in the hyperbolic 3-space
- Ribaucour transformations for hypersurfaces in space forms
- Hyperbolic linear Weingarten surfaces in \(\mathbb R^{3}\)
- Lawson correspondence and Ribaucour transformations
- Linear Weingarten surfaces in Euclidean and hyperbolic space
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