HIGHER P-SYMMETRIC EKELAND-HOFER CAPACITIES

被引：0

作者：

Shi, Kun ^{[1
]}

Lu, Guangcun ^{[1
]}

机构：

[1] Beijing Normal Univ, Sch Math Sci, Minist Educ, Lab Math & Complex Syst, Beijing 100875, Peoples R China

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2022年 / 21卷 / 03期

关键词：

P-symmetric Ekeland-Hofer capacities; P-symmetric closed characteristics; real symmetric Ekeland-Hofer capacities; SYMPLECTIC TOPOLOGY; HYPERSURFACES;

D O I：

10.3934/cpaa.2022009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to the construction of analogues of higher Ekeland-Hofer symplectic capacities for P-symmetric subsets in the standard symplectic space (R-2n, omega(0)), which is motivated by Long and Dong's study about P-symmetric closed characteristics on P-symmetric convex bodies. We study the relationship between these capacities and other capacities, and give some computation examples. Moreover, we also define higher real symmetric Ekeland-Hofer capacities as a complement of Jin and the second named author's recent study of the real symmetric analogue about the first Ekeland-Hofer capacity.

引用

页码：1049 / 1070

页数：22

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