2013/02/08 by Andrea Loi, Roberto Mossa, Fabio Zuddas
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Geometry and complex manifolds #Hermitian matrix #Hermitian symmetric space #Mathematical proof #Symplectic geometry #Triple system #Type (biology) #math.DG #math.SG #msc:53C55 #msc:53D05 #msc:53D45
paper · pdf · doi:10.4310/jsg.2015.v13.n4.a7
published as Symplectic capacities of Hermitian symmetric spaces, J. Symplect. Geom. 13 (2015), no. 4, 1049-1073 · 28 pages
arxiv created 2013/02/08 · openalex publication_date 2015/01/01 · openalex created_date 2016/06/24 · arxiv updated 2016/06/29 · openalex updated_date 2026/08/05
Inspired by the work of G. Lu [35] 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.