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Similarity principle of the generalized Cauchy-Riemann equations for several complex variables

Similarity principle of the generalized Cauchy-Riemann equations for several complex variables

\S 0. Introduction.Newlander and Nirenberg [12] proved that a sufficiently differentiable almost complex manifold satisfying the complete integrability conditions is a complex manifold.From a different point of view we may consider this Newlander-Nirenberg theorem as an extension of the Beltrami equation to several complex variables.Vekua [15], [16] established the theory …