Some Notes on Dirac operators on the S3{\rm S}^3 and S2{\rm S}^2 spheres

preprint2016arXivOpen access

Abstract

We describe both the Hodge - de Rham and the spin manifold Dirac operator on the spheres S3{\rm S}^3 and S2{\rm S}^2, following the formalism introduced by Kähler, and exhibit a complete spectral resolution for them in terms of suitably globally defined eigenspinors.

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