A procedure computes renormalized curvature integrals on Poincaré-Einstein manifolds, links Albin and Chang-Qing-Yang Gauss-Bonnet formulas, constructs non-unique scalar conformal invariants of weight -n for n≥8, and yields explicit formulas for compact Einstein manifolds.
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Computing renormalized curvature integrals on Poincar\'e-Einstein manifolds
A procedure computes renormalized curvature integrals on Poincaré-Einstein manifolds, links Albin and Chang-Qing-Yang Gauss-Bonnet formulas, constructs non-unique scalar conformal invariants of weight -n for n≥8, and yields explicit formulas for compact Einstein manifolds.