Existence of a somewhere injective pseudo-holomorphic disc
Existence of a somewhere injective pseudo-holomorphic disc
复制标题
某处射射伪全纯盘的存在
DOI：
10.1007/pl00001640
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发表时间：
2000
期刊：
影响因子：
--
通讯作者：
L. Lazzarini
中科院分区：
文献类型：
--
作者：
L. Lazzarini
抽象的。给定光滑全真实的子流形
几乎复流形（M，J）中的L和具有边界的J-全纯圆盘
$ {\calL} $，通过对初始圆的限制和因式分解，得到一条光滑的简单J-全纯曲线，其边界仍在
$ {\cal L} $.由此得到辛流形中一类拉格朗日子流形的Arnold-Givental猜想的一个证明。
Abstract. Given a smooth totally real submanifold
$ {\cal L} $ in an almost complex manifold (M,J) and a J-holomorphic disc with boundary in
$ {\cal L} $, by restriction of the initial disc and factorization, one gets a smooth simple J-holomorphic curve still with boundary in
$ {\cal L} $. As a consequence one gets a proof of the Arnold-Givental conjecture for a class of Lagrangian submanifolds in a symplectic manifold.