Lorentzian connections with parallel twistor-free torsion
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866908380741763072 |
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| author | Ernst, Igor Galaev, Anton S. |
| author_facet | Ernst, Igor Galaev, Anton S. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_13288 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Lorentzian connections with parallel twistor-free torsion Ernst, Igor Galaev, Anton S. Differential Geometry 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. |
| title | Lorentzian connections with parallel twistor-free torsion |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2303.13288 |