Mathematical Research Letters
Volume 22 (2015)
Non-squeezing property for holomorphic symplectic structures
Pages: 729 – 740
We prove a Gromov’s non-squeezing type theorem in holomorphic symplectic geometry. We further define holomorphic symplectic invariants on Grassmanian bundles and use them to give a more general version of the non-squeezing theorem.
holomorphic symplectic manifolds, Kobayashi and Carathéodory volume forms, non-squeezing theorem
2010 Mathematics Subject Classification