Symplectic capacities of Hermitian symmetric spaces

Abstract

Inspired by the work of G. Lu on pseudo symplectic capacities we obtain several results on the Gromov width and the Hofer--Zehnder capacity of Hermitian symmetric spaces of compact type. Our results and proofs extend those obtained by Lu for complex Grassmannians to Hermitian symmetric spaces of compact type. We also compute the Gromov width and the Hofer--Zehnder capacity for Cartan domains and their products.

28 pages

Cited by in corpus (8)

• Some remarks on the Gromov width of homogeneous Hodge manifolds
• The Gromov width of Bott-Samelson varieties
• Symplectic geometry of Cartan-Hartogs domains
• Hofer-Zehnder capacity and Bruhat graph
• Minimal symplectic atlases of Hermitian symmetric spaces
• A Cartan-Hartogs version of the Polydisk Theorem
• A note on the Gromov width of toric manifolds
• On the $\Delta$-property for complex space forms