Sri Rama Chandra Kushtagi

Volume renormalization of higher-codimension singular Yamabe spaces

Abstract Given an embedded closed submanifold Σ n \Sigma^{n} in the closed Riemannian manifold M n + k M^{n+k} , where k < n + 2 k , we define extrinsic global conformal invariants of Σ by renormalizing the volume associated to the unique singular Yamabe metric with singular set...