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

2016/02/10 by Guglielmo Albanese, Albanese, Guglielmo, Marco Rigoli +1 · 1 citation
Mathematics · #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #math.AP #math.DG

paper · pdf · doi:10.48550/arxiv.1602.03371

arxiv created 2016/02/10 · arxiv updated 2016/02/11

Abstract

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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• Hyperbolicity and Schwarz Lemmas in Calibrated Geometry

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