Estimates for the volume of a Lorentzian manifold

Details Estimates for the volume of a Lorentzian manifold Estimates for the volume of a Lorentzian manifold

2002-07-04

arxiv.org/abs/math/0207049v2

Gen.Rel.Grav. 35 (2003) 201-207

Mathematics

Differential Geometry

8 pages, a pdf version of the preprint can also be retrieved from http://www.math.uni-heidelberg.de/studinfo/gerhardt/LM-Volum

Scientific paper

We prove new estimates for the volume of a Lorentzian manifold and show
especially that cosmological spacetimes with crushing singularities have finite
volume.

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