Some Notes on Dirac operators on the ${\mathrm{S}}^3$ and ${\mathrm{S}}^2$ spheres

Abstract

We describe both the Hodge - de Rham and the spin manifold Dirac operator on the spheres ${\mathrm{S}}^3$ and ${\mathrm{S}}^2$, following the formalism introduced by Kähler, and exhibit a complete spectral resolution for them in terms of suitably globally defined eigenspinors.

27 pages

References in corpus (1)

• Dirac operator on the Riemann sphere