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A Minkowski-Type Inequality for Hypersurfaces in the Reissner-Nordstrom-Anti-deSitter Manifold

Wang, Zhuhai

We prove a sharp Minkowski-type inequality for hypersurfaces in the n-dimensional Reissner-Nordström-Anti-deSitter(AdS) manifold for n ≥ 3. This inequality generalizes the one for hypersurfaces in the uncharged AdS-Schwarzschild manifold proved in 5. With the Minkowski inequality, we prove a charged Gibbons-Penrose inequality for a large class of (n - 1)-dimensional spacelike surfaces in the Reissner-Nordström spacetime.

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More About This Work

Academic Units
Mathematics
Thesis Advisors
Wang, Mu-Tao
Degree
Ph.D., Columbia University
Published Here
May 13, 2015
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