Cauchy kernels for some conformally flat manifolds
Complex Variables
2007-05-23 v1
Abstract
Here we will consider examples of conformally flat manifolds that are conformally equivalent to open subsets of the n-dimensional sphere. For such manifolds we shall introduce a Cauchy kernel and Cauchy integral formula for sections tasking values in a spinor bundle and annihilated by a Dirac operator, or generalized Cauchy-Riemann operator. Basic properties of this kernel are examined, in particular we examine links to Hardy spaces.
Cite
@article{arxiv.math/0303341,
title = {Cauchy kernels for some conformally flat manifolds},
author = {John Ryan},
journal= {arXiv preprint arXiv:math/0303341},
year = {2007}
}