Nonlinear flag manifolds as coadjoint orbits

Abstract

A nonlinear flag is a finite sequence of nested closed submanifolds. We study the geometry of Frechet manifolds of nonlinear flags, in this way generalizing the nonlinear Grassmannians. As an application we describe a class of coadjoint orbits of the group of Hamiltonian diffeomorphisms that consist of nested symplectic submanifolds, i.e., symplectic nonlinear flags.

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Cited by in corpus (3)

• Weighted nonlinear flag manifolds as coadjoint orbits
• Pointed vortex loops in ideal 2D fluids
• Induced differential characters on nonlinear Graßmannians