Lorentzian connections with parallel twistor-free torsion
Differential Geometry
2025-05-28 v2
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.
Keywords
Cite
@article{arxiv.2303.13288,
title = {Lorentzian connections with parallel twistor-free torsion},
author = {Igor Ernst and Anton S. Galaev},
journal= {arXiv preprint arXiv:2303.13288},
year = {2025}
}
Comments
the final version accepted for publication in Collectanea Mathematica