Three-dimensional conformally symmetric manifolds

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.

References in corpus (2)

• Two-symmetric Lorentzian manifolds
• Homogeneity of Lorentzian three-manifolds with recurrent curvature