Weighted nonlinear flag manifolds as coadjoint orbits
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866916487326859264 |
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| author | Haller, Stefan Vizman, Cornelia |
| author_facet | Haller, Stefan Vizman, Cornelia |
| contents | A weighted nonlinear flag is a nested set of closed submanifolds, each submanifold endowed with a volume density. We study the geometry of Frechet 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_00428 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Weighted nonlinear flag manifolds as coadjoint orbits Haller, Stefan Vizman, Cornelia Differential Geometry Symplectic Geometry 58D10 (primary), 37K65, 53C30, 53D20, 58D05 A weighted nonlinear flag is a nested set of closed submanifolds, each submanifold endowed with a volume density. We study the geometry of Frechet 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. |
| title | Weighted nonlinear flag manifolds as coadjoint orbits |
| topic | Differential Geometry Symplectic Geometry 58D10 (primary), 37K65, 53C30, 53D20, 58D05 |
| url | https://arxiv.org/abs/2301.00428 |