arXiv:1010.2311 Abstract | arXiv Analytics

arXiv:1010.2311 [math.DG]Abstract References Reviews Resources

Some Curvature Problems in Semi-Riemannian Geometry

Published 2010-10-12Version 1

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.

Comments: 25 pages, LaTeX, 4 figures

Journal: "Global Differential Geometry," C. B\"ar et al. (eds.), Springer (2012) 201-230

DOI: 10.1007/978-3-642-22842-1_8

Categories: math.DG, math-ph, math.AP, math.MP

Keywords: semi-riemannian geometry, curvature problems, dominant energy condition, positive mass theorem, main themes

Tags: journal article

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