Bianchi congruences of two-dimensional surfaces in $ E^4$

DOI10.1070/SM2005v196n10ABEH003708zbMath1142.53010OpenAlexW2094882098MaRDI QIDQ5459397

Vasyl A. Gorkavyy

Publication date: 28 April 2008

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm2005v196n10abeh003708

zbMATH Keywords

Gaussian curvaturepseudospherical surfaceBianchi congruence

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Differential line geometry (53A25) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (5)

Circular Dini surfaces in \(\mathbb{E}^4\) ⋮ On submanifolds with negative curvature in Euclidean space ⋮ Degenerate Bäcklund transformation ⋮ Generalization of the Bianchi-Bäcklund transformation of pseudo-spherical surfaces ⋮ Degenerate Bianchi transformations for three-dimensional pseudo-spherical submanifolds in \(\mathbb{R}^5\)

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