Grassmann Geometries and Integrable Systems
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Publication:6209109
arXiv0804.1830MaRDI QIDQ6209109
Publication date: 11 April 2008
Abstract: We describe how the loop group maps corresponding to special submanifolds associated to integrable systems may be thought of as certain Grassmann submanifolds of infinite dimensional homogeneous spaces. In general, the associated families of special submanifolds are certain Grassmann submanifolds. An example is given from recent work of the author.
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Differential geometry of symmetric spaces (53C35) Local submanifolds (53B25)
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