Some Curvature Problems in Semi-Riemannian Geometry
Differential Geometry
2012-02-17 v1 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
In this survey article we review several results on the curvature of semi-Riemannian metrics which are motivated by the positive mass theorem. The main themes are estimates of the Riemann tensor of an asymptotically flat manifold and the construction of Lorentzian metrics which satisfy the dominant energy condition.
Cite
@article{arxiv.1010.2311,
title = {Some Curvature Problems in Semi-Riemannian Geometry},
author = {Felix Finster and Marc Nardmann},
journal= {arXiv preprint arXiv:1010.2311},
year = {2012}
}
Comments
25 pages, LaTeX, 4 figures