Monogenic Functions in Conformal Geometry
Differential Geometry
2008-04-24 v1 Analysis of PDEs
Complex Variables
Abstract
Monogenic functions are basic to Clifford analysis. On Euclidean space they are defined as smooth functions with values in the corresponding Clifford algebra satisfying a certain system of first order differential equations, usually referred to as the Dirac equation. There are two equally natural extensions of these equations to a Riemannian spin manifold only one of which is conformally invariant. We present a straightforward exposition.
Cite
@article{arxiv.0708.4172,
title = {Monogenic Functions in Conformal Geometry},
author = {Michael Eastwood and John Ryan},
journal= {arXiv preprint arXiv:0708.4172},
year = {2008}
}
Comments
This is a contribution to the Proceedings of the 2007 Midwest Geometry Conference in honor of Thomas P. Branson, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/