Discontinuous symplectic capacities

Discontinuous symplectic capacities
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不连续辛容量

DOI:
10.1007/s11784-013-0148-x
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发表时间:
2012
影响因子:
1.8
通讯作者:
F. Ziltener
F. Ziltener
中科院分区:
数学3区
文献类型:
--
作者:
Kai Zehmisch;F. Ziltener

文献摘要

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我们证明,在光滑的椭球壳族上,球形容量是不连续的。此外,我们证明了壳容量在具有平滑连接边界的开集族上是不连续的。
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.