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ON BOUNDARY VALUE PROBLEMS FOR EINSTEIN METRICS MICHAEL T. ANDERSON
 

Summary: 



ON BOUNDARY VALUE PROBLEMS FOR EINSTEIN METRICS



MICHAEL T. ANDERSON



Abstract.On any given compact manifold Mn+1with boundary @M, it is proved*
* that the moduli
space E of Einstein metrics on M, if non-empty, is a smooth, infinite dim*
*ensional Banach manifold,
at least when ss1(M, @M) = 0. Thus, the Einstein moduli space is unobstr*
*ucted. The usual
Dirichlet and Neumann boundary maps to data on @M are smooth, but not Fre*
*dholm. Instead,

  

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

 

Collections: Mathematics