an:04052477
Zbl 0645.53023
Aviles, Patricio; McOwen, Robert C.
Complete conformal metrics with negative scalar curvature in compact Riemannian manifolds
EN
Duke Math. J. 56, No. 2, 395-398 (1988).
00168097
1988
j
53C20 58J60
conformal metrics; negative scalar curvature; Monge-Amp??re equation
Investigating the solution of the Monge-Amp??re 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 \(d>n- 2/2\).
Th.Friedrich