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ON THE STRUCTURE OF CONFORMALLY COMPACT EINSTEIN METRICS MICHAEL T. ANDERSON
 

Summary: 



ON THE STRUCTURE OF CONFORMALLY COMPACT EINSTEIN METRICS



MICHAEL T. ANDERSON



Abstract.Let M be an (n+1)-dimensional manifold with non-empty boundary, *
*satisfying ss1(M, @M) =
0. The main result of this paper is that the space of conformally compact*
* Einstein metrics on M
is a smooth, infinite dimensional Banach manifold, provided it is non-emp*
*ty. We also prove full
boundary regularity for such metrics in dimension 4 and a local existence*
* and uniqueness theorem

  

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

 

Collections: Mathematics