Develops a general framework of decoration and augmentation functors for nonlinear Grassmannians that equips known coadjoint orbits of classical diffeomorphism groups with uniform smooth symplectic Fréchet manifold structures.
Weinstein, Connections of Berry and Hannay type for moving Lagrangian s ubmanifolds, Adv
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Nonlinear Grassmannians: plain, decorated, augmented
Develops a general framework of decoration and augmentation functors for nonlinear Grassmannians that equips known coadjoint orbits of classical diffeomorphism groups with uniform smooth symplectic Fréchet manifold structures.