几乎复域的静止圆盘的叶
Foliations by stationary disks of almost complex domains
摘要：
研究了殆复流形中区域的稳定圆的存在性问题。作为我们结果的一个结果，我们证明了任何几乎复域，它是严格线性凸区域$D \subset C^n$的小变形，具有标准复结构，允许通过任何给定内点的固定圆盘的奇异叶理。对于通过给定边界点的静止圆盘的叶理，也给出了类似的结果
英文摘要：
We study the problem of existence of stationary disks for domains in almost complex manifolds. As a consequence of our results, we prove that any almost complex domains which is a small deformations of a strictly linearly convex domain $D \subset C^n$ with standard complex structure admits a singular foliation by stationary disks passing through any given internal point. Similar results are given for foliation by stationary disks through a given boundary point
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