Tangent and normal bundles in almost complex geometry
We define and study pseudoholomorphic vector bundles structures, particular cases of which are tangent and normal bundle almost complex structures. As an application we deduce normal forms of 1-jets 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.
Dette er forfatternes aksepterte versjon. This is the author’s final accepted manuscript.
CitationDifferential Geometry and its Applications Volume 25, Issue 4, August 2007, Pages 399-418 doi:10.1016/j.difgeo.2007.02.007
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