Monogenic functions in conformal geometry
Date
2007
Authors
Eastwood, Michael George
Ryan, J. A.
Editors
Advisors
Journal Title
Journal ISSN
Volume Title
Type:
Journal article
Citation
Symmetry Integrability and Geometry: Methods and Applications, 2007; 3 (84):1-14
Statement of Responsibility
Michael Eastwood and John Ryan
Conference Name
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.
School/Discipline
School of Mathematical Sciences