Computing renormalized curvature integrals on Poincar\'e-Einstein
manifolds
Computing renormalized curvature integrals on Poincar\'e-Einstein
manifolds
We describe a general procedure for computing renormalized curvature integrals on Poincar\'e-Einstein manifolds. In particular, we explain the connection between the Gauss-Bonnet-type formulas of Albin and Chang-Qing-Yang for the renormalized volume, and explicitly identify a scalar conformal invariant in the latter formula. Our approach constructs scalar conformal invariants that are …