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Nijenhuis tensors in pseudoholomorphic curves neighborhoods

Boris Kruglikov
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Abstract

Normal forms of almost complex structures in a neighborhood of pseudoholomorphic curve are considered. We define normal bundles of such curves and study the properties of linear bundle almost complex structures. We describe 1-jet of the almost complex structure along a curve in terms of its Nijenhuis tensor. For pseudoholomorphic tori we investigate the problem of pseudoholomorphic foliation of the neighborhood. We obtain some results on nonexistence of the tori deformation.

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Boris Kruglikov. 2001-05-16. Nijenhuis tensors in pseudoholomorphic curves neighborhoods. https://arxiv.org/abs/math/0105130

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