Geometric Poisson brackets on Grassmannians and conformal spheres

DOI10.1017/S0308210510001071zbMath1248.53068arXiv1006.5753OpenAlexW2964258775MaRDI QIDQ2895827

Gloria Marí Beffa, Michael G. Eastwood

Publication date: 4 July 2012

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.5753

zbMATH Keywords

integrable systemsGrassmannian manifoldsbi-Hamiltonian structurePoisson geometry

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Poisson manifolds; Poisson groupoids and algebroids (53D17)

Related Items (3)

Integrable systems and invariant curve flows in symplectic Grassmannian space ⋮ Moving frames, geometric Poisson brackets and the KdV-Schwarzian evolution of pure spinors ⋮ On \(\mathrm{SO}(3,3)\) as the projective group of the space \(\mathrm{SO}(3)\)

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