Nonlinear flag manifolds as coadjoint orbits

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 consis...

Descripción completa

Detalles Bibliográficos
Autores principales: Haller, Stefan, Vizman, Cornelia
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Netherlands 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7547001/
https://www.ncbi.nlm.nih.gov/pubmed/33088009
http://dx.doi.org/10.1007/s10455-020-09725-6
_version_ 1783592341112619008
author Haller, Stefan
Vizman, Cornelia
author_facet Haller, Stefan
Vizman, Cornelia
author_sort Haller, Stefan
collection PubMed
description 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.
format Online
Article
Text
id pubmed-7547001
institution National Center for Biotechnology Information
language English
publishDate 2020
publisher Springer Netherlands
record_format MEDLINE/PubMed
spelling pubmed-75470012020-10-19 Nonlinear flag manifolds as coadjoint orbits Haller, Stefan Vizman, Cornelia Ann Glob Anal Geom (Dordr) Article 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. Springer Netherlands 2020-09-08 2020 /pmc/articles/PMC7547001/ /pubmed/33088009 http://dx.doi.org/10.1007/s10455-020-09725-6 Text en © The Author(s) 2020 Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
spellingShingle Article
Haller, Stefan
Vizman, Cornelia
Nonlinear flag manifolds as coadjoint orbits
title Nonlinear flag manifolds as coadjoint orbits
title_full Nonlinear flag manifolds as coadjoint orbits
title_fullStr Nonlinear flag manifolds as coadjoint orbits
title_full_unstemmed Nonlinear flag manifolds as coadjoint orbits
title_short Nonlinear flag manifolds as coadjoint orbits
title_sort nonlinear flag manifolds as coadjoint orbits
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7547001/
https://www.ncbi.nlm.nih.gov/pubmed/33088009
http://dx.doi.org/10.1007/s10455-020-09725-6
work_keys_str_mv AT hallerstefan nonlinearflagmanifoldsascoadjointorbits
AT vizmancornelia nonlinearflagmanifoldsascoadjointorbits

Ejemplares similares