Some Notes on Dirac operators on the ${\rm S}^3$ and ${\rm S}^2$ spheres
Mathematical Physics
2016-09-20 v1 Differential Geometry
math.MP
Abstract
We describe both the Hodge - de Rham and the spin manifold Dirac operator on the spheres and , following the formalism introduced by K\"ahler, and exhibit a complete spectral resolution for them in terms of suitably globally defined eigenspinors.
Cite
@article{arxiv.1609.05868,
title = {Some Notes on Dirac operators on the ${\rm S}^3$ and ${\rm S}^2$ spheres},
author = {Fabio Di Cosmo and Alessandro Zampini},
journal= {arXiv preprint arXiv:1609.05868},
year = {2016}
}
Comments
27 pages