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.
2022
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]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11381/2920230
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