Academic Commons

Theses Doctoral

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.



  • thumnail for Wang_columbia_0054D_12740.pdf Wang_columbia_0054D_12740.pdf binary/octet-stream 376 KB Download File

More About This Work

Academic Units
Thesis Advisors
Wang, Mu-Tao
Ph.D., Columbia University
Published Here
May 13, 2015
Academic Commons provides global access to research and scholarship produced at Columbia University, Barnard College, Teachers College, Union Theological Seminary and Jewish Theological Seminary. Academic Commons is managed by the Columbia University Libraries.