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arXiv · 2303.13288

Lorentzian connections with parallel twistor-free torsion

Igor Ernst·Anton S. Galaev
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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.

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Igor Ernst, Anton S. Galaev. 2023-03-23. Lorentzian connections with parallel twistor-free torsion. https://doi.org/10.1007/s13348-023-00430-8

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