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Эта публикация цитируется в 7 научных статьях (всего в 7 статьях)
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
Аннотация:
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.
Ключевые слова:
Clifford analysis; monogenic functions; Dirac operator; conformal invariance.
Поступила: 29 августа 2007 г.; опубликована 30 августа 2007 г.
Образец цитирования:
Michael Eastwood, John Ryan, “Monogenic Functions in Conformal Geometry”, SIGMA, 3 (2007), 084, 14 pp.
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/sigma210 https://www.mathnet.ru/rus/sigma/v3/p84
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