Monogenic functions in conformal geometry

Date

2007

Authors

Eastwood, Michael George
Ryan, J. A.

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Symmetry Integrability and Geometry: Methods and Applications, 2007; 3 (84):1-14

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Michael Eastwood and 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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School of Mathematical Sciences

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