Nonlinear flag manifolds as coadjoint orbits
Differential Geometry
2021-09-06 v1
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.
Keywords
Cite
@article{arxiv.2002.04364,
title = {Nonlinear flag manifolds as coadjoint orbits},
author = {Stefan Haller and Cornelia Vizman},
journal= {arXiv preprint arXiv:2002.04364},
year = {2021}
}