scientific article; zbMATH DE number 825438

zbMath0832.53013MaRDI QIDQ4858273

Marcos Dajczer, Ruy Tojeiro

Publication date: 26 February 1996

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002213044

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zbMATH Keywords

isometric immersionsspace formsgeneralized Laplace equationelliptic sinh-Gordon equationmultirotational submanifolds

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Local submanifolds (53B25)

Related Items (9)

Isometric immersions with flat normal bundle between space forms ⋮ Superposition formulae for the geometric Bäcklund transformations of the hyperbolic and elliptic sine-Gordon and sinh-Gordon equations ⋮ The vectorial Ribaucour transformation for submanifolds of constant sectional curvature ⋮ Einstein submanifolds with parallel mean curvature ⋮ Conformally flat submanifolds with flat normal bundle ⋮ Isometric immersions of pseudo-Riemannian space forms ⋮ Isometric immersions of \({{\mathbb R}^2}\) into \({{\mathbb R}^4}\) and perturbation of Hopf tori ⋮ Ribaucour transformations for isometric immersions of pseudo-Riemannian space forms ⋮ The Ribaucour transformation for flat Lagrangian submanifolds.

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