Harmonic spinors of the Dirac operator of connection with torsion in dimension four

Details Harmonic spinors of the Dirac operator of connection with torsion in dimension four Harmonic spinors of the Dirac operator of connection with torsion in dimension four

Jan 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001cqgra..18..253d&link_type=abstract

Classical and Quantum Gravity, Volume 18, Issue 2, pp. 253-263 (2001).

Computer Science

1

Scientific paper

It is shown that the existence of a parallel (-)-spinor with respect to a metric connection with totally skew-symmetric torsion requires more local restrictions than the existence of a parallel (+)-spinor. It is proved that every harmonic spinor with respect to the Dirac operator of this connection on a compact four-dimensional spin Riemannian manifold is parallel with respect to a naturally arising metric connection with totally skew-symmetric torsion and all such spaces are classified up to a conformal transformation.

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