A Minkowski Inequality for Hypersurfaces in the Anti-de Sitter-Schwarzschild Manifold

• Published in: Communications on pure and applied mathematics Vol. 69; no. 1; pp. 124 - 144
• Main Authors: Brendle, Simon, Hung, Pei-Ken, Wang, Mu-Tao
• Format: Journal Article
• Language: English
• Published: New York Blackwell Publishing Ltd 01.01.2016; John Wiley and Sons, Limited
• Subjects: Applied mathematics; Euclidean space; Geometry

We prove a sharp inequality for hypersurfaces in the n‐dimensional anti‐de Sitter‐Schwarzschild manifold for general n ≥ 3. This inequality generalizes the classical Minkowski inequality for surfaces in the three‐dimensional euclidean space and has a natural interpretation in terms of the Penrose in...