Pseudoholomorphic curves in symplectizations with applications to the Weinstein conjecture in dimension three

Pseudoholomorphic curves in symplectizations with applications to the Weinstein conjecture in dimension three
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DOI:
10.1007/bf01232679
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发表时间:
1993-12
影响因子:
3.1
通讯作者:
H. Hofer
H. Hofer
中科院分区:
数学1区
文献类型:
--
作者:
H. Hofer

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设M是2n+ 1维光滑闭可定向流形. M上的接触形式是1-形式2,使得2/x(d2)”是M上的体积形式。与2相关的有两个重要的结构。首先,所谓的Reeb向量场X= Xz定义为:
Let M be a smooth closed orientable manifold of dimension 2n+ 1. A contact form on M is a 1-form 2 such that 2/x (d2)" is a volume form on M. Associated to 2 there are two important structures. First of all the so-called Reeb vector field X= Xz defined by ix 2= l, ixd2= 0