The submanifold geometries associated to Grassmannian systems

DOI10.1090/memo/0735zbMath0998.53037arXivmath/0006216OpenAlexW2963355108MaRDI QIDQ2784249

Chun-Lian Terng, Xi Du, Joon-Sang Park, Martina Brück

Publication date: 22 April 2002

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0006216

zbMATH Keywords

Bäcklund transformationssoliton equationsLax pairsRibaucour transformationsdressing actionpermutability formulaGrassmannian systemssubmanifold geometries

Mathematics Subject Classification ID

Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Global submanifolds (53C40) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02)

Related Items

On Ribaucour transformations and applications to linear Weingarten surfaces ⋮ On transforms of timelike isothermic surfaces in pseudo-Riemannian space forms ⋮ A class of overdetermined systems defined by tableaux: involutiveness and the Cauchy problem ⋮ Discrete Ω$\Omega$‐nets and Guichard nets via discrete Koenigs nets ⋮ Generalized polar transforms of spacelike isothermic surfaces ⋮ Covariant description of isothermic surfaces ⋮ Topologically embedded helicoidal pseudospherical cylinders ⋮ Isothermic submanifolds ⋮ Conformally flat submanifolds in spheres and integrable systems ⋮ Generators for rational loop groups ⋮ Ribaucour transformations for isometric immersions of pseudo-Riemannian space forms ⋮ Solitons for the Schrödinger flows on Hermitian symmetric spaces

This page was built for publication: The submanifold geometries associated to Grassmannian systems