Lorentzian connections with parallel twistor-free torsion
arXiv:2303.13288 · doi:10.1007/s13348-023-00430-8
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.
the final version accepted for publication in Collectanea Mathematica