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Complete conformal metrics with negative scalar curvature in compact Riemannian manifolds. (English) Zbl 0645.53023
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 $$d>n- 2/2$$.
Reviewer: Th.Friedrich

MSC:
 53C20 Global Riemannian geometry, including pinching 58J60 Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.)
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References:
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