2000/08/15 by S. Dimiev, R. Lazov, Dimiev, S. +5
Mathematics · #Algebraic Geometry and Number Theory #Complex Variables (math.CV) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #math.CV
paper · pdf · doi:10.48550/arxiv.math/0008106
12 pages, to be published in "Quaternionic Structures in Mathematical Physics - Second Meeting, Roma, 1999"
arxiv created 2000/08/15 · openalex publication_date 2000/08/15 · arxiv updated 2009/11/30 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28
Almost-complex and hyper-complex manifolds are considered in this paper from the point of view of complex analysis and potential theory. The idea of holomorphic coordinates on an almost-complex manifold (M,J%) is suggested by D. Spencer. For hypercomplex manifolds we introduce the notion of hyper-holomorphic function and develop some analogous statements. Elliptic equations are developed in a different way than D. Spencer. In general here we describe only the formal aspect of the developed theory.