| Full text | |
| Author(s): |
Mossa, Roberto
;
Zedda, Michela
Total Authors: 2
|
| Document type: | Journal article |
| Source: | Annali di Matematica Pura ed Applicata; v. N/A, p. 25-pg., 2022-03-09. |
| 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. (AU) | |
| FAPESP's process: | 18/08971-9 - Diastatic entropy and rigidity of hyperbolic manifolds |
| Grantee: | Roberto Mossa |
| Support Opportunities: | Research Grants - Young Investigators Grants |