Planarity in Higher-Dimensional Contact Manifolds
Planarity in Higher-Dimensional Contact Manifolds
复制标题
高维接触流形中的平面性
DOI：
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发表时间：
2018
影响因子：
1
通讯作者：
Agustin Moreno
中科院分区：
文献类型：
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作者：
Bahar Acu;Agustin Moreno
得到了高维平面（迭代）接触流形的几个结果。(1)迭代平面接触流形不是弱辛可共填充的。这将Etnyre[14]的三维结果推广到高维环境，其中弱填充性的概念是由于massot - niederkr<s:1> ger- wendl[38]。(2)它们不是作为闭辛流形中不可分离的弱接触型超曲面出现的。这推广了Albers-Bramham-Wendl bbb的结果。(3)它们满足Weinstein猜想，即每一接触形式都存在一个封闭的Reeb轨道。这是由[2]的另一种方法证明的，并且是Abbas-Cieliebak-Hofer[1]结果的高维推广。这一结果也适用于一种合适的辛柄附件，具有一定的独立意义。
We obtain several results for (iterated) planar contact manifolds in higher dimensions. (1) Iterated planar contact manifolds are not weakly symplectically co-fillable. This generalizes a 3D result of Etnyre [ 14] to a higher-dimensional setting, where the notion of weak fillability is that due to Massot-Niederkrüger-Wendl [ 38]. (2) They do not arise as nonseparating weak contact-type hypersurfaces in closed symplectic manifolds. This generalizes a result by Albers-Bramham-Wendl [ 4]. (3) They satisfy the Weinstein conjecture, that is, every contact form admits a closed Reeb orbit. This is proved by an alternative approach as that of [ 2] and is a higher-dimensional generalization of a result of Abbas-Cieliebak-Hofer [ 1]. The results follow as applications from a suitable symplectic handle attachment, which bears some independent interest.
影响因子：
1.1
作者：
Lazarev, Oleg
通讯作者：
Lazarev, Oleg
打开的书和温斯坦猜想
影响因子：
0.7
作者：
M. Dörner;H. Geiges;K. Zehmisch
通讯作者：
K. Zehmisch
影响因子：
0.9
作者：
Conway, James;Etnyre, John B.
通讯作者：
Etnyre, John B.