Some Remarks on Cauchy-Riemann Structures (original) (raw)

2010

Abstract

ABSTRACT In this lecture we consider real analytic Cauchy-Riemann structures. We formulate results about their complexifications, their local and global embeddability and their partial ordering. The main reference for this material is Andreotti [1], where the study of Cauchy-Riemann structures is carefully developed from the elementary definitions to the local and global embeddability questions. Let U be an open set in ℝm and consider a system of ℓ complex-valued C∞ vector fields on U,

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