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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
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
Citation:
Michael Eastwood, John Ryan, “Monogenic Functions in Conformal Geometry”, SIGMA, 3 (2007), 084, 14 pp.
Linking options:
https://www.mathnet.ru/eng/sigma210 https://www.mathnet.ru/eng/sigma/v3/p84
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Abstract page: | 256 | Full-text PDF : | 45 | References: | 24 |
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