Tangent and normal bundles in almost complex geometry
Tangent and normal bundles in almost complex geometry
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DOI：
10.1016/j.difgeo.2007.02.007
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发表时间：
2003-04
影响因子：
0.5
通讯作者：
B. Kruglikov
中科院分区：
文献类型：
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作者：
B. Kruglikov
我们定义并研究了拟全纯向量丛结构，其特例是切丛和法丛几乎复结构。作为应用，我们得到了伪全纯子流形上几乎复结构的范式。在四维空间中，我们将这些规范形与曲线邻域的拟全纯分叶问题和拟全纯环面的不变形和持久性问题联系起来。
We define and study pseudoholomorphic vector bundle structures, particular cases of which are tangent and normal bundle almost complex structures. As an application we deduce normal forms of almost complex structures along a pseudoholomorphic submanifold. In dimension four we relate these normal forms to the problem of pseudoholomorphic foliation of a neighborhood of a curve and the question of non-deformation and persistence of pseudoholomorphic tori.