Spencer manifolds
Complex Variables
2007-05-23 v1
Abstract
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 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.
Cite
@article{arxiv.math/0008106,
title = {Spencer manifolds},
author = {S. Dimiev and R. Lazov and N. Milev},
journal= {arXiv preprint arXiv:math/0008106},
year = {2007}
}
Comments
12 pages, to be published in "Quaternionic Structures in Mathematical Physics - Second Meeting, Roma, 1999"