Eastwood, Michael GeorgeRyan, J. A.2008-05-062008-05-062007Symmetry Integrability and Geometry: Methods and Applications, 2007; 3 (84):1-141815-0659http://hdl.handle.net/2440/43257Monogenic 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.enJournal article002007546010.3842/SIGMA.2007.0842-s2.0-77954646466