A characterization of Dirac morphisms

Details A characterization of Dirac morphisms A characterization of Dirac morphisms

2008-05-05

arxiv.org/abs/0805.0591v2

Mathematics

Differential Geometry

18 pages; restricted to the even-dimensional case

Scientific paper

10.1007/s00220-008-0713-0

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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