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Symmetry, Integrability and Geometry: Methods and Applications, 2007, Volume 3, 084, 14 pp.
DOI: https://doi.org/10.3842/SIGMA.2007.084 (Mi sigma210) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Monogenic Functions in Conformal Geometry

Michael Eastwooda, John Ryanb

a Department of Mathematics, University of Adelaide, SA 5005, Australia
b Department of Mathematics, University of Arkansas, Fayetteville, AR 72701, USA
Full-text PDF (262 kB) Citations (7)
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DOI: https://doi.org/10.3842/SIGMA.2007.084
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.
Keywords: Clifford analysis; monogenic functions; Dirac operator; conformal invariance.
Received: August 29, 2007; Published online August 30, 2007
Bibliographic databases:
Document Type: Article
MSC: 53A30; 58J70; 15A66
Language: English
Citation: Michael Eastwood, John Ryan, “Monogenic Functions in Conformal Geometry”, SIGMA, 3 (2007), 084, 14 pp.
Citation in format AMSBIB
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    		Symmetry, Integrability and Geometry: Methods and Applications
     
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