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.
Related projects:	Specifický výzkum v odborné a učitelské matematice 2023