Discontinuous symplectic capacities

被引：3

作者：

Zehmisch, Kai ^{[1
]}

Ziltener, Fabian ^{[2
]}

机构：

[1] Univ Cologne, Math Inst, D-50931 Cologne, Germany

[2] Wiskunde Gebouw Univ Utrecht, NL-3584 CD Utrecht, Netherlands

来源：

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2013年 / 14卷 / 01期

关键词：

Symplectic capacities; discontinuity; helicity; symplectic embeddings; holomorphic spheres; nonsqueezing; TOPOLOGY;

D O I：

10.1007/s11784-013-0148-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that the spherical capacity is discontinuous on a smooth family of ellipsoidal shells. Moreover, we prove that the shell capacity is discontinuous on a family of open sets with smooth connected boundaries.

引用

页码：299 / 307

页数：9

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