Lorentzian submanifolds in Lorentzian space form with the same constant curvatures

DOI10.1007/s10711-004-5458-0zbMath1067.53047OpenAlexW1998074657MaRDI QIDQ1768252

Joon-Sang Park

Publication date: 15 March 2005

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-004-5458-0

zbMATH Keywords

Grassmannian systemssubmanifold geometries

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Cites Work

• A higher dimension generalization of the Sine-Gordon equation and its soliton theory
• Bäcklund's theorem for \(n\)-dimensional submanifolds of \(R^{2n-1}\)
• Critical point theory and submanifold geometry
• Soliton equations and differential geometry
• COMPLETE PROLONGATION AND THE FROBENIUS INTEGRABILITY FOR OVERDETERMINED SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS
• Bäcklund's theorem for submanifolds of space forms and a generalized wave equation

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