English

Conformally flat Lorentzian manifolds with special holonomy groups

Differential Geometry 2018-08-21 v3

Abstract

The local classification of conformally flat Lorentzian manifolds with special holonomy groups is obtained. The corresponding local metrics are certain extensions of Riemannian spaces of constant sectional curvature to Walker metrics.

Keywords

Cite

@article{arxiv.1011.3977,
  title  = {Conformally flat Lorentzian manifolds with special holonomy groups},
  author = {Anton S. Galaev},
  journal= {arXiv preprint arXiv:1011.3977},
  year   = {2018}
}

Comments

The final version

R2 v1 2026-06-21T16:45:10.626Z