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L2 CURVATURE AND VOLUME RENORMALIZATION OF AHE METRICS ON 4-MANIFOLDS
 

Summary: 



L2 CURVATURE AND VOLUME RENORMALIZATION OF AHE METRICS

ON 4-MANIFOLDS



MICHAEL T. ANDERSON



Abstract.This paper relates the boundary term in the Chern-Gauss-Bonnet f*
*ormula on 4-manifolds
M with the renormalized volume V , as defined in the AdS/CFT corresponden*
*ce, for asymptotically
hyperbolic Einstein metrics on M. In addition we compute and discuss the *
*differential or variation

  

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

 

Collections: Mathematics