Pseudo-spherical submanifolds with degenerate Bianchi transformation
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Publication:1758341
DOI10.1007/s00025-011-0168-zzbMath1259.53007OpenAlexW1992074191MaRDI QIDQ1758341
Olena Nevmerzhytska, Vasyl A. Gorkavyy
Publication date: 9 November 2012
Published in: Results in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00025-011-0168-z
Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)
Related Items (3)
Circular Dini surfaces in \(\mathbb{E}^4\) ⋮ Generalization of the Bianchi-Bäcklund transformation of pseudo-spherical surfaces ⋮ Degenerate Bianchi transformations for three-dimensional pseudo-spherical submanifolds in \(\mathbb{R}^5\)
Cites Work
- Unnamed Item
- Bäcklund's theorem for \(n\)-dimensional submanifolds of \(R^{2n-1}\)
- On Bianchi and Bäcklund transformations of two-dimensional surfaces in \(E^4\)
- Isometric imbedding of Riemann manifolds in a Riemann manifold
- Bäcklund's theorem for submanifolds of space forms and a generalized wave equation
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