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.
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机译：受到G. Lu [35]关于伪辛容量的研究的启发，我们获得了紧凑型Hermitian对称空间的Gromov宽度和Hofer-Zehnder容量的一些结果。我们的结果和证明将Lu的关于复杂Grassmannian的结果扩展到紧凑型Hermitian对称空间。我们还计算了Cartan域及其产品的Gromov宽度和Hofer-Zehnder容量。
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