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REGULARITY FOR LORENTZ METRICS UNDER CURVATURE BOUNDS MICHAEL T. ANDERSON
 

Summary: 



REGULARITY FOR LORENTZ METRICS UNDER CURVATURE BOUNDS



MICHAEL T. ANDERSON



Abstract.Let (M, g) be an (n+1)-dimensional space time, with bounded curv*
*ature, with respect
to a bounded framing. If (M, g) is vacuum, or satisfies a mild condition *
*on the stress-energy tensor,
then we show that (M, g) locally admits coordinate systems in which the L*
*orentz metric g is well-
controlled in the (space-time) Sobolev space L2,p, for any p < 1.

  

Source: Anderson, Michael - Department of Mathematics, SUNY at Stony Brook

 

Collections: Mathematics