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arXiv · 0708.4172

Monogenic Functions in Conformal Geometry

Michael Eastwood·John Ryan
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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.

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Michael Eastwood, John Ryan. 2007-08-30. Monogenic Functions in Conformal Geometry. https://doi.org/10.3842/sigma.2007.084

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