Titel
Weighted nonlinear flag manifolds as coadjoint orbits
Autor*in
Cornelia Vizman
Department of Mathematics, West University of Timişoara
Abstract
A weighted nonlinear flag is a nested set of closed submanifolds, each submanifold endowed with a volume density. We study the geometry of Fréchet manifolds of weighted nonlinear flags, in this way generalizing the weighted nonlinear Grassmannians. When the ambient manifold is symplectic, we use these nonlinear flags to describe a class of coadjoint orbits of the group of Hamiltonian diffeomorphisms, orbits that consist of weighted isotropic nonlinear flags.
Stichwort
Weighted nonlinear flagcoadjoint orbitHamiltonian groupmoment mapmanifold of mappings
Objekt-Typ
Sprache
Englisch [eng]
Persistent identifier
https://phaidra.univie.ac.at/o:2044548
Erschienen in
Titel
Canadian Journal of Mathematics
ISSN
0008-414X
Erscheinungsdatum
2023
Seitenanfang
1
Seitenende
31
Verlag
Canadian Mathematical Society
Projektnummer
P31663 – Austrian Science Fund (FWF)
Erscheinungsdatum
2023
Zugänglichkeit
Rechteangabe
© The Author(s), 2023

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