Some Notes on Dirac operators on the ${\rm S}^3$ and ${\rm S}^2$ spheres
  We describe both the Hodge - de Rham and the spin manifold Dirac operator on the spheres ${\rm S}^3$ and ${\rm S}^2$, following the formalism introduced by K\"ahler, and exhibit a complete spectral resolution for them in terms of suitably globally defined eigenspinors. 
Fabio Di Cosmo, Alessandro Zampini
math-ph math.DG math.MP