Second-order symmetric Lorentzian manifolds
Differential Geometry
2009-11-11 v1 General Relativity and Quantum Cosmology
Metric Geometry
Abstract
Lorentzian manifolds with vanishing second covariant derivative of the Riemann tensor are studied. Their existence, classification and explicit local expression are considered. Related issues and open questions are briefly commented.
Cite
@article{arxiv.math/0510099,
title = {Second-order symmetric Lorentzian manifolds},
author = {José M. M. Senovilla},
journal= {arXiv preprint arXiv:math/0510099},
year = {2009}
}
Comments
8 pages, Contribution to the Proceedings of the XXVIII Spanish Relativity Meeting, E.R.E.2005 (Oviedo, Spain, 2005)