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Symplectic geometry of Cartan-Hartogs domains

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Autor(es):
Mossa, Roberto ; Zedda, Michela
Número total de Autores: 2
Tipo de documento: Artigo Científico
Fonte: Annali di Matematica Pura ed Applicata; v. N/A, p. 25-pg., 2022-03-09.
Resumo

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)

Processo FAPESP: 18/08971-9 - Entropia diastática e rigidez das variedades hiperbólicas
Beneficiário:Roberto Mossa
Modalidade de apoio: Auxílio à Pesquisa - Jovens Pesquisadores