高指标容量不满足辛 Brunn-Minkowski 不等式
辛几何
2020-10-27 v1
摘要
本文证明了由 Artstein-Avidan 和 Ostrover 针对 Ekeland-Hofer-Zehnder 容量建立的辛 Brunn-Minkowski 不等式，对于指标大于一的 Gutt-Hutchings 容量不成立。
引用
@article{arxiv.2010.13603,
title = {Higher index capacities do not satisfy the symplectic Brunn-Minkowski inequality},
author = {Ely Kerman and Yuanpu Liang},
journal= {arXiv preprint arXiv:2010.13603},
year = {2020}
}
备注
9 pages, 1 figure, to appear in the Israel Journal of Mathematics