This paper studies the geometry of Cartan–Hartogs domains from the symplectic point of view. Inspired by duality between compact and noncompact Hermitian symmetric spaces, we construct a dual counterpart of Cartan–Hartogs domains and give explicit expression of global Darboux coordinates for both Cartan–Hartogs domains and their dual. Further, we compute their symplectic capacity and show that a Cartan–Hartogs domain admits a symplectic duality if and only if it reduces to be a complex hyperbolic space.
Symplectic geometry of Cartan–Hartogs domains / Mossa, R.; Zedda, M.. - In: ANNALI DI MATEMATICA PURA ED APPLICATA. - ISSN 0373-3114. - (2022). [10.1007/s10231-022-01201-1]
Symplectic geometry of Cartan–Hartogs domains
Zedda M.
2022-01-01
Abstract
This paper studies the geometry of Cartan–Hartogs domains from the symplectic point of view. Inspired by duality between compact and noncompact Hermitian symmetric spaces, we construct a dual counterpart of Cartan–Hartogs domains and give explicit expression of global Darboux coordinates for both Cartan–Hartogs domains and their dual. Further, we compute their symplectic capacity and show that a Cartan–Hartogs domain admits a symplectic duality if and only if it reduces to be a complex hyperbolic space.File | Dimensione | Formato | |
---|---|---|---|
Mossa-Zedda2022_Article_SymplecticGeometryOfCartanHart.pdf
accesso aperto
Descrizione: Articolo principale
Tipologia:
Documento in Post-print
Licenza:
Creative commons
Dimensione
2.38 MB
Formato
Adobe PDF
|
2.38 MB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.