A Minkowski type inequality in warped cylinders

We prove a Minkowski type inequality for weakly mean convex and star-shaped hypersurfaces in warped cylinders which are asymptotically flat or hyperbolic. In particular, we show that this sharp inequality holds for outward minimizing hypersurfaces in the Schwarzschild manifold or the hyperbolic spac...

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Bibliographische Detailangaben

Hauptverfasser:	Pan, Shujing, Yang, Bo
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Analysis of PDEs Mathematics - Differential Geometry
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