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arXiv · 0805.0591

A characterization of Dirac morphisms

E. Loubeau·R. Slobodeanu
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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.

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E. Loubeau, R. Slobodeanu. 2008-10-09. A characterization of Dirac morphisms. https://doi.org/10.1007/s00220-008-0713-0

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