Boundary Curvature Scalars on Conformally Compact Manifolds
Boundary Curvature Scalars on Conformally Compact Manifolds
We introduce a sequence of conformally invariant scalar curvature quantities, defined along the conformal infinity of a conformally compact (CC) manifold, that measure the failure of a CC metric to have constant negative scalar curvature in the interior, i.e. its failure to solve the singular Yamabe problem. Indeed, these "CC …