Lorentzian connections with parallel twistor-free torsion

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Authors

ERNST Igor GALAEV Anton

Year of publication 2023
Type Article in Periodical
Magazine / Source Collectanea Mathematica
MU Faculty or unit

Faculty of Science

Citation
Web https://link.springer.com/article/10.1007/s13348-023-00430-8
Doi http://dx.doi.org/10.1007/s13348-023-00430-8
Keywords Lorentzian manifold; Parallel torsion; Twistor-free torsion; Skew-symmetric torsion; Holonomy
Description 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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