Spencer manifolds (Q2715732)

This paper is devoted to the study of almost-complex and hyper-complex manifolds from the point of view of complex analysis and potential theory. Following \textit{D. C. Spencer} [Lectures on Functions of a Complex Variable, Univ. of Michigan Press, 15-43 (1955; Zbl 0068.30502)] the authors consider holomorphic coordinates on almost-complex manifolds, they introduce the notion of hyper-holomorphic coordinates for hyper-complex manifolds and study some questions. Elliptic equations are developed in a way different from that of D. Spencer. Finally they deal with the problem of local reconstruction of almost-complex structures on smooth manifolds.NEWLINENEWLINEFor the entire collection see [Zbl 0958.00032].