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Symmetries of almost complex structures and pseudoholomorphic foliations

Symmetries of almost complex structures and pseudoholomorphic foliations

Contrary to complex structures, a generic almost complex structure J has no local symmetries. We give a criterion for finite-dimensionality of the pseudogroup G of local symmetries for a given almost complex structure J. It will be indicated that a large symmetry pseudogroup (infinite-dimensional) is a signature of some integrable …