Circular Dini surfaces in \(\mathbb{E}^4\)

DOI10.1007/s00025-023-02044-9OpenAlexW4388904241MaRDI QIDQ6143044

Vasyl A. Gorkavyy, Darya Gashurenko

Publication date: 4 January 2024

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

Full work available at URL: https://doi.org/10.1007/s00025-023-02044-9

zbMATH Keywords

Bäcklund transformationpseudospheretractrixDini surface

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Curves in Euclidean and related spaces (53A04) Non-Euclidean differential geometry (53A35) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Cites Work

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• Degenerate Bäcklund transformation
• On Bianchi and Bäcklund transformations of two-dimensional surfaces in \(E^4\)
• Pseudo-spherical submanifolds with degenerate Bianchi transformation
• Degenerate Bianchi transformations for three-dimensional pseudo-spherical submanifolds in \(\mathbb{R}^5\)
• Generalization of the Bianchi-Bäcklund transformation of pseudo-spherical surfaces
• Tire Tracks and Integrable Curve Evolution
• The Circular Tractrix
• Bianchi congruences of two-dimensional surfaces in $ E^4$

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