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Nonlinear flag manifolds as coadjoint orbits.

Authors:
Stefan Haller Cornelia Vizman

Ann Glob Anal Geom (Dordr) 2020 8;58(4):385-413. Epub 2020 Sep 8.

Department of Mathematics, West University of Timişoara, Bd. V.Pârvan 4, 300223 Timisoara, Romania.

A nonlinear flag is a finite sequence of nested closed submanifolds. We study the geometry of Fréchet 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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http://dx.doi.org/10.1007/s10455-020-09725-6DOI Listing
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC7547001PMC
September 2020

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A nonlinear flag is a finite sequence of nested closed submanifolds. We study the geometry of Fréchet 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. Read More

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