181 research outputs found
Nijenhuis tensors in pseudoholomorphic curves neighborhoods
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.Comment: 27 page
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