Geodesic
Monogenic Functions in Conformal Geometry
Symmetry, integrability and geometry: methods and applications, Tome 3 (2007) Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Keywords: Clifford analysis; monogenic functions; Dirac operator; conformal invariance. 
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     author = {Michael Eastwood and John Ryan},
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Michael Eastwood; John Ryan. Monogenic Functions in Conformal Geometry. Symmetry, integrability and geometry: methods and applications, Tome 3 (2007). http://geodesic.mathdoc.fr/item/SIGMA_2007_3_a83/

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