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Bel-Robinson Energy and ConstantMean Curvature Foliations

Authors:	Lars Andersson

Affiliation:	(1) Department of Mathematics, University of Miami, 33124 Coral Gables, Florida, USA

Abstract:	An energy estimate is proved for the Bel-Robinson energy along a constant mean curvature foliation in a spatially compact vacuum spacetime, assuming an $L^{infty}$ bound on the second fundamental form, and a bound on a spacetime versionof Bel-Robinson energy.Communicated by Sergiu KlainermanSubmitted 25/07/03, accepted 27/01/04

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