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.
Symplectic capacities of hermitian symmetric spaces of compact and noncompact type
Loi A.;Mossa R.;Zuddas F.
2015-01-01
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.
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[11] A. Loi, R. Mossa and F. Zuddas, Symplectic capacities of Hermitian symmetric spaces of compact and noncompact type, Journal of Sympl. Geom. 13 (2015), no. 4, 1049-1073.pdf
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