Monogenic Functions in Conformal Geometry

Details Monogenic Functions in Conformal Geometry Monogenic Functions in Conformal Geometry

2007-08-30

arxiv.org/abs/0708.4172v1

SIGMA 3 (2007), 084, 14 pages

Mathematics

Differential Geometry

This is a contribution to the Proceedings of the 2007 Midwest Geometry Conference in honor of Thomas P. Branson, published in

Scientific paper

10.3842/SIGMA.2007.084

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.

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