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A Schwarz-type lemma for noncompact manifolds with boundary and geometric applications

机译:具有边界和几何应用的非兼容歧管的Schwarz型引理

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摘要

We prove a Schwarz-type lemma for noncompact manifolds with possibly noncompact boundary. The result is a consequence of a suitable form of the weak maximum principle of independent interest. The paper is enriched with applications to conformal deformations of noncompact manifolds with boundary, among them a generalization of a classical result by Escobar.
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