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Volume comparison for hypersurfaces
in Lorentzian manifolds and singularity
theorems

Treude, Jan-Hendrik and Grant, James D.E. (2012) Volume comparison for hypersurfaces
in Lorentzian manifolds and singularity
theorems.
Preprintreihe der Fakultät Mathematik 8/2012, Working Paper.

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Abstract

We develop area and volume comparison theorems for the evolution of spacelike, acausal, causally complete hypersurfaces in Lorentzian manifolds, where one has a lower bound on the Ricci tensor along timelike curves, and an upper bound on the mean curvature of the hypersurface. Using these results, we give a new proof of Hawking's singularity ...

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Item Type:Monograph (Working Paper)
Date:2012
Institutions:Mathematics > Prof. Dr. Felix Finster
Classification:
NotationType
53C23MSC
53C80MSC
Keywords:Lorentzian geometry, comparison theorems, singularity theorems
Subjects:500 Science > 510 Mathematics
Status:Unknown
Refereed:No, this version has not been refereed yet (as with preprints)
Created at the University of Regensburg:Yes
Owner: Universitätsbibliothek Regensburg
Deposited On:19 Mar 2012 07:35
Last Modified:13 Mar 2014 18:42
Item ID:23578
Owner Only: item control page

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