Bianchi's Bäcklund transformation for higher dimensional quadrics

DOI10.1016/j.geomphys.2016.09.002zbMath1351.53011arXiv0808.2007OpenAlexW2963896688MaRDI QIDQ335840

Ion I. Dincă

Publication date: 2 November 2016

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0808.2007

zbMATH Keywords

Bäcklund transformation(confocal) quadrics(discrete) isometric deformations in \(\mathbb{C}^{2n-1}\) of quadrics in \(\mathbb{C}^{n+1}\)Bianchi permutability theoremcommon conjugate system

Mathematics Subject Classification ID

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

Related Items (1)

Bianchi's Hazzidakis transformation for generic higher dimensional quadrics

Cites Work

• The Gauss equations and rigidity of isometric embeddings
• Peterson's deformations of higher dimensional quadrics
• Discrete surfaces with constant negative Gaussian curvature and the Hirota equation.
• A higher dimension generalization of the Sine-Gordon equation and its soliton theory
• Bäcklund's theorem for \(n\)-dimensional submanifolds of \(R^{2n-1}\)

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