Pseudoholomorphic Strips in Symplectisations I: Asymptotic Behavior

Casim Abbas

doi:10.1016/j.anihpc.2003.01.004

Pseudoholomorphic Strips in Symplectisations I: Asymptotic Behavior

辛几何 2015-06-26 v2 偏微分方程分析

作者: Casim Abbas

在 arXiv 上查看 ↗ PDF ↗ DOI ↗

摘要

This paper is part of a larger program, the investigation of the Chord Problem in three dimensional contact geometry. The main tool will be pseudoholomorphic strips in the symplectisation of a three dimensional contact manifold with two totally real submanifolds $L_0,L_1$ as boundary conditions. The submanifolds $L_0$ and $L_1$ do not intersect transversally. The subject of this paper is to study the asymptotic behavior of such pseudoholomorphic strips.

关键词

symplectic geometry contact geometry asymptotic analysis

引用

@article{arxiv.math/0208151,
  title  = {Pseudoholomorphic Strips in Symplectisations I: Asymptotic Behavior},
  author = {Casim Abbas},
  journal= {arXiv preprint arXiv:math/0208151},
  year   = {2015}
}

备注

An updated version of the preprint math.SG/0111142 will appear as four separate papers. This is the first part (53 pages). In this version one estimate is significantly improved

Pseudoholomorphic Strips in Symplectisations I: Asymptotic Behavior

摘要

关键词

引用

备注

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