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Zbl 0965.53048
Galloway, Gregory J.
Maximum principles for null hypersurfaces and null splitting theorems. (English)
[J] Ann. Henri Poincaré 1, No.3, 543-567 (2000). ISSN 1424-0637; ISSN 1424-0661/e

The author studies first the maximum principle for smooth null hypersurfaces and then the maximum principle for $C^0$ null hypersurfaces with application to the study of some rigidity properties of space-times which contain null lines. He shows how the maximum principle for rough null hypersurfaces can be used to obtain a general ``splitting theorem'' for space-times with null lines.
[Bernard Rouxel (Quimper)]

MSC 2000:: *53C50 Lorentz manifolds, manifolds with indefinite metrics

Keywords: splitting theorem; maximum principle; null hypersurfaces

Cited in: Zbl 1118.83004

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