Milan Journal of Mathematics

, Volume 75, Issue 1, pp 91–116

Aspects of Dirac Operators in Analysis

Article

DOI: 10.1007/s00032-007-0077-5

Cite this article as:
Eastwood, M.G. & Ryan, J. Milan j. math. (2007) 75: 91. doi:10.1007/s00032-007-0077-5

Abstract.

We give a review of the analysis behind several examples of Dirac-type operators over manifolds arising in Clifford analysis. These include the Atiyah-Singer-Dirac operator acting on sections of a spin bundle over a spin manifold. It also includes several Dirac operators arising over conformally flat spin manifolds including hyperbolic space. Links to classical harmonic analysis are pointed out.

Keywords.

Dirac operator Clifford analysis spin manifold conformally flat manifold harmonic analysis 

Copyright information

© Birkhaueser 2007

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of AdelaideAdelaideAustralia
  2. 2.Department of MathematicsUniversity of ArkansasFayettevilleUSA

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