Complete conformal metrics with negative scalar curvature in compact Riemannian manifolds
Investigating the solution of the Monge-Ampère equation the author proves that \(\hat M=M\setminus \Gamma\) admits a complete metric \(\hat g\) conformally equivalent to g in case \((M^ n,g)\) is a compact Riemannian manifold and \(\Gamma\) is a closed smooth submanifold of dimension \(d>n- 2/2\).
scientific article; zbMATH DE number 4052477