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• W2136315818 abstract "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." @default.
• W2136315818 created "2016-06-24" @default.
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• W2136315818 date "2000-12-22" @default.
• W2136315818 modified "2023-10-14" @default.
• W2136315818 title "Harmonic spinors of the Dirac operator of connection with torsion in dimension four" @default.
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• W2136315818 doi "https://doi.org/10.1088/0264-9381/18/2/305" @default.
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