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## Parabolicity of manifolds with boundary and applications to height estimates and slice type results for constant mean curvature graphs

Prof. Dr. Alberto Setti (Università dell'Insubria)

Resumo: We describe the extension to non-compact Riemannian manifolds with boundary of two important tools in the geometric analysis of compact spaces, namely, the integration by parts and the weak maximum principle for subharmonic functions. The motivation underlying this study is mainly the attempt to obtain new information on the geometry of graphs or, more generally, of hypersurfaces with boundary and prescribed mean curvature inside a Riemannian product of the type $M\times\mathbb{R}$.

Local: Sala de Seminários da Pós-Graduação, Bloco 12
Data: Quinta, 29 de agosto de 2013
Hora: 10:00.