Abstract
In this paper, we give an estimation for coisotropic Ekeland–Hofer–Zehnder capacity by combinatorial formula. This result implies that coisotropic Ekeland–Hofer–Zehnder capacity can measure the symmetry of convex bodies with respected to \(\mathbb {R}^{n,k}\) in some sense. Next, we talk about the behavior of coisotropic Ekeland–Hofer–Zehnder capacity of convex domains in the classical phase space with respect to symplectic p-products.
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Acknowledgements
Thanks my supervisor Professor Guangcun Lu for his valuable discussions and his help.
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Shi, K. New Estimations for Coisotropic Ekeland–Hofer–Zehnder Capacity. J Geom Anal 34, 227 (2024). https://doi.org/10.1007/s12220-024-01672-z
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DOI: https://doi.org/10.1007/s12220-024-01672-z
Keywords
- Coisotropic Ekeland–Hofer–Zehnder capacity
- Ekeland–Hofer–Zehnder symplectic capacity
- Combinatorial formula
- p-products