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Nijenhuis tensors and obstructions to constructing pseudoholomorphic mappings

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Abstract

We suggest several approaches to the classification of almost complex structures and to the construction of local or formal pseudoholomorphic mappings of one almost complex manifold into another. Appropriate criteria are given in terms of Nijenhuis tensors and their generalizations.

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Translated fromMatematicheskie Zametki, Vol. 63, No. 4, pp. 541–561, April, 1998.

The author thanks professor V. V. Lychagin for his attention to the work and useful discussions.

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Kruglikov, B.S. Nijenhuis tensors and obstructions to constructing pseudoholomorphic mappings. Math Notes 63, 476–493 (1998). https://doi.org/10.1007/BF02311251

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  • DOI: https://doi.org/10.1007/BF02311251

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