论文标题

较高的索引容量不满足符合性的Brunn-Minkowski不平等

Higher index capacities do not satisfy the symplectic Brunn-Minkowski inequality

论文作者

Kerman, Ely, Liang, Yuanpu

论文摘要

在本文中,我们证明,由Artstein-Minkowski和Ostrover建立的Ekeland-Hofer-Zhhnder容量建立的符合性的Brunn-Minkowski不平等,无法为大于一个以上的索引的Gutt-Hutchings容量而保持。

In this paper we prove that the symplectic Brunn-Minkowski inequality, established by Artstein-Avidan and Ostrover for the Ekeland-Hofer-Zehnder capacity, fails to hold for the Gutt-Hutchings capacities of index greater than one.

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