Aspects of Dirac operators in analysis
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.
|Collections||ANU Research Publications|
|Source:||Milan Journal of Mathematics|
|01_Eastwood_Aspects_of_Dirac_operators_in_2007.pdf||264.37 kB||Adobe PDF||Request a copy|
Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.