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
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.