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On the holomorphy of maps from a complex to a real manifold

On the holomorphy of maps from a complex to a real manifold

Let/: X -» Ybe a C 1-submersion from a complex manifold Xto a real C1-manifold Y. One main object of this paper is to prove two sets of necessary and sufficient conditions which will guarantee that Y can be equipped with a complex structure making / holomorphic. We provide a …