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@article{2379962, author = {Ernst, Igor and Galaev, Anton}, doi = {http://dx.doi.org/10.1007/s13348-023-00430-8}, keywords = {Lorentzian manifold; Parallel torsion; Twistor-free torsion; Skew-symmetric torsion; Holonomy}, language = {eng}, issn = {0010-0757}, journal = {Collectanea Mathematica}, title = {Lorentzian connections with parallel twistor-free torsion}, url = {https://link.springer.com/article/10.1007/s13348-023-00430-8}, year = {2023} }
TY - JOUR ID - 2379962 AU - Ernst, Igor - Galaev, Anton PY - 2023 TI - Lorentzian connections with parallel twistor-free torsion JF - Collectanea Mathematica PB - Springer Nature SN - 00100757 KW - Lorentzian manifold KW - Parallel torsion KW - Twistor-free torsion KW - Skew-symmetric torsion KW - Holonomy UR - https://link.springer.com/article/10.1007/s13348-023-00430-8 N2 - 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. ER -
ERNST, Igor and Anton GALAEV. Lorentzian connections with parallel twistor-free torsion. \textit{Collectanea Mathematica}. Springer Nature, 2023, 21 pp. ISSN~0010-0757. Available from: https://dx.doi.org/10.1007/s13348-023-00430-8.
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