2015 Theses Doctoral

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

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.

## Subjects

## Files

- Wang_columbia_0054D_12740.pdf application/pdf 376 KB Download File

## More About This Work

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