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arxiv: 0805.0591 · v2 · submitted 2008-05-05 · 🧮 math.DG

A characterization of Dirac morphisms

classification 🧮 math.DG
keywords diracfieldsharmoniclocalmorphismsspinorbackbase
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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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