Isometric immersions of space forms and soliton theory
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Publication:1923233
DOI10.1007/BF01444224zbMath0866.53046arXivdg-ga/9503010MaRDI QIDQ1923233
Publication date: 7 October 1996
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/dg-ga/9503010
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) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)
Related Items (13)
Curved flats, pluriharmonic maps and constant curvature immersions into pseudo-Riemannian space forms ⋮ A class of overdetermined systems defined by tableaux: involutiveness and the Cauchy problem ⋮ Channel linear Weingarten surfaces in space forms ⋮ The spectral interpretation of \(n\)-spaces of constant negative curvature immersed in \({\mathbb{R}}^{2n-1}\) ⋮ Recursion operator for the intrinsic generalized sine-Gordon equation ⋮ Conformal geometry of marginally trapped surfaces in \(\mathbb {S}^4_1\) ⋮ Loop group decompositions in almost split real forms and applications to soliton theory and geometry ⋮ Isometric immersions of \({{\mathbb R}^2}\) into \({{\mathbb R}^4}\) and perturbation of Hopf tori ⋮ Generators for rational loop groups ⋮ Generalized DPW method and an application to isometric immersions of space forms ⋮ Ribaucour transformations for isometric immersions of pseudo-Riemannian space forms ⋮ Application of soliton theory to the construction of isometric immersions of \(M^{n_1}(c_1)\times M^{n_2}(c_2)\) into constant curvature spaces \(M^n(\pm 1)\). ⋮ Isometric embedding and Darboux integrability
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