Metric connections with parallel twistor-free torsion
Differential Geometry
2023-05-02 v1 Representation Theory
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. In this paper we classify complete simply connected Riemannian manifolds carrying a metric connection whose torsion is parallel, has non-zero vectorial component and vanishing twistorial component.
Cite
@article{arxiv.2012.10882,
title = {Metric connections with parallel twistor-free torsion},
author = {Andrei Moroianu and Mihaela Pilca},
journal= {arXiv preprint arXiv:2012.10882},
year = {2023}
}
Comments
15 pages