Three-dimensional conformally symmetric manifolds
Differential Geometry
2013-02-07 v1
Abstract
The non-existence of non-trivial conformally symmetric manifolds in the three-dimensional Riemannian setting is shown. In Lorentzian signature, a complete local classification is obtained. Furthermore, the isometry classes are examined.
Cite
@article{arxiv.1302.1417,
title = {Three-dimensional conformally symmetric manifolds},
author = {E. Calviño-Louzao and E. García-Río and J. Seoane-Bascoy and R. Vázquez-Lorenzo},
journal= {arXiv preprint arXiv:1302.1417},
year = {2013}
}