Lorentzian connections with parallel twistor-free torsion

Abstract

We describe Lorentzian manifolds that admit metric connections with parallel torsion having zero twistorial component and non-zero vectorial component. We also describe Lorentzian manifolds admitting metric connections with closed parallel skew-symmetric torsion.

arXiv commentthe final version accepted for publication in Collectanea Mathematica

References in corpus (8)

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• Kundt Spacetimes
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• Metric connections with parallel skew-symmetric torsion
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