Nijenhuis tensors in pseudoholomorphic curves neighborhoods
In this paper we consider the normal forms of almost complex structures in a neighborhood of pseudoholomorphic curve. 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 get some results on nonexistence of the tori deformation.
PublisherUniversitetet i Tromsø
University of Tromsø
SeriesMathematical report / Institute of Mathematical and Physical Sciences, University of Tromsø, 2000-40
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