Two-dimensional pseudospherical surfaces with degenerate Bianchi transformation

DOI10.1007/s11253-012-0605-5zbMath1256.53008OpenAlexW2110115534MaRDI QIDQ1760012

E. N. Nevmerzhitskaya, Vasyl A. Gorkavyy

Publication date: 23 November 2012

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

Full work available at URL: https://doi.org/10.1007/s11253-012-0605-5

zbMATH Keywords

generalized tractrixgeneralized Beltrami surfaceoricyclic coordinates

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) 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 (4)

Rotational submanifolds in Euclidean spaces ⋮ On Generalized Spherical Surfaces in Euclidean Spaces ⋮ Degenerate Bäcklund transformation ⋮ Generalization of the Bianchi-Bäcklund transformation of pseudo-spherical surfaces

Cites Work

• On Bianchi and Bäcklund transformations of two-dimensional surfaces in \(E^4\)
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