Moroianu, Andrei and Pilca, Mihaela (2021) Metric connections with parallel twistor-free torsion. INTERNATIONAL JOURNAL OF MATHEMATICS, 32 (12): 2140011. ISSN 0129-167X, 1793-6519
Full text not available from this repository. (Request a copy)Abstract
The torsion of every metric connection on a Riemannian manifold has three components: one totally skew-symmetric, one of vectorial type and one of twistorial type, which is also called the traceless cyclic component. In this paper we classify complete simply connected Riemannian manifolds carrying a metric connection whose torsion is parallel, has nonzero vectorial component and vanishing twistorial component.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | MANIFOLDS; Metric connections with torsion; symmetric spaces; compact Lie algebras; traceless cyclic torsion |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 26 Aug 2022 05:51 |
| Last Modified: | 26 Aug 2022 05:51 |
| URI: | https://pred.uni-regensburg.de/id/eprint/47024 |
Actions (login required)
 |
View Item |
