Degenerate Bäcklund transformation

DOI10.1007/s11253-016-1207-4zbMath1393.37086OpenAlexW2508417815MaRDI QIDQ721103

E. N. Nevmerzhitskaya, Vasyl A. Gorkavyy

Publication date: 18 July 2018

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-016-1207-4

zbMATH Keywords

Gauss curvatureBäcklund transformationpseudospherical surface

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Differential line geometry (53A25) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items (2)

Circular Dini surfaces in \(\mathbb{E}^4\) ⋮ Degenerate Bianchi transformations for three-dimensional pseudo-spherical submanifolds in \(\mathbb{R}^5\)

Cites Work

• On Bianchi and Bäcklund transformations of two-dimensional surfaces in \(E^4\)
• Two-dimensional pseudospherical surfaces with degenerate Bianchi transformation
• Grassmann manifolds and the Grassmann image of submanifolds
• Bianchi congruences of two-dimensional surfaces in $ E^4$
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