A characterization of Dirac morphisms
arXiv:0805.0591 · doi:10.1007/s00220-008-0713-0
Abstract
Relating the Dirac operators on the total space and on the base manifold of a horizontally conformal submersion, we characterize Dirac morphisms, i.e. maps which pull back (local) harmonic spinor fields onto (local) harmonic spinor fields.
18 pages; restricted to the even-dimensional case