Isometric immersions of pseudo-Riemannian space forms

DOI10.1016/j.geomphys.2004.03.002zbMath1077.53051OpenAlexW2034469333WikidataQ115353527 ScholiaQ115353527MaRDI QIDQ556216

Cheng Yi, Dafeng Zuo, Chen Qing

Publication date: 13 June 2005

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

Full work available at URL: https://doi.org/10.1016/j.geomphys.2004.03.002

zbMATH Keywords

Bäcklund transformationisometric immersionpseudo-Riemannian space formsBäcklund theorem

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Geometric theory, characteristics, transformations in context of PDEs (35A30) 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 (5)

Generalized Weierstrass representations of surfaces with the constant Gauss curvature in pseudo-Riemannian three-dimensional space forms ⋮ Curved flats, pluriharmonic maps and constant curvature immersions into pseudo-Riemannian space forms ⋮ Superposition formulae for the geometric Bäcklund transformations of the hyperbolic and elliptic sine-Gordon and sinh-Gordon equations ⋮ Ribaucour transformations for isometric immersions of pseudo-Riemannian space forms ⋮ Twisted hierarchies associated with the generalized sine-Gordon equation

Cites Work

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