期刊
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS
卷 69, 期 1, 页码 124-144出版社
WILEY-BLACKWELL
DOI: 10.1002/cpa.21556
关键词
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资金
- National Science Foundation [DMS-0905628, DMS-1201924, DMS-1105483]
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [1105483] Funding Source: National Science Foundation
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 inequality for collapsing null shells of dust. The proof relies on a new monotonicity formula for inverse mean curvature flow and uses a geometric inequality established by the first author in [3]. (C) 2014 Wiley Periodicals, Inc.
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