Tangent and normal bundles in almost complex geometry

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In this paper we define and study pseudoholomorphic vector bundles structures, particular cases of which are tangent and normal bundle almost complex structures. These are intrinsically related to the Gromov D-operator. As an application we deduce normal forms of 1-jets of almost complex structures along a 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 curves.
25 pages; More detailed relations between normal bundles structures are added. Links with other works on the topic - mostly almost complex bundles structures - are developped

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Complex Variables, Differential Geometry, 53C15, 53C07, 32G05, 53C56

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http://salesiana.dossiersoluciones.com/handle/123456789/67062

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0304165
 http://arxiv.org/abs/math/0304165

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arXiv