Volume renormalization of higher-codimension singular Yamabe spaces

Sri Rama Chandra Kushtagi, Stephen E. McKeown

Given an embedded closed submanifold ${\Sigma }^n$ in the closed Riemannian manifold $M^{n+k}$, where $k<n+2$, we define extrinsic global conformal invariants of $\Sigma$ by renormalizing…