A characterization of Dirac morphisms
Differential Geometry
2009-11-13 v2
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.
Keywords
Cite
@article{arxiv.0805.0591,
title = {A characterization of Dirac morphisms},
author = {E. Loubeau and R. Slobodeanu},
journal= {arXiv preprint arXiv:0805.0591},
year = {2009}
}
Comments
18 pages; restricted to the even-dimensional case