Geometry of Integrable Systems Related to the Restricted Grassmannian

Abstract

A hierarchy of differential equations on a Banach Lie-Poisson space related to the restricted Grassmannian is studied. Flows on the groupoid of partial isometries and on the restricted Grassmannian are described, and a momentum map picture is presented.

Cited by in corpus (2)

• Poisson structures in the Banach setting: comparison of different approaches
• Banach Lie groupoid of partial isometries over restricted Grassmannian