Asymptotically hyperbolic metrics on the unit ball with horizons
Yuguang Shi, Luen-Fai Tam
Abstract
In this paper, we construct a family of asymptotically hyperbolic manifolds with horizons and with scalar curvature equal to -6. The manifolds we constructed can be arbitrary close to anti-de Sitter-Schwarzschild manifolds at infinity. Hence, the mass of our manifolds can be very large or very small. The main arguments we used in this paper is gluing methods which was used in M.
Create a lesson
Related papers
Scalar curvature on Kähler blow-ups and systolic inequalities
Zehao Sha, Jian Wang
Strict Stability and Strict Minimality of Regular Area-Minimizing Hypercones: A Quantitative Characterization
Gongping Niu
Sharp partial regularity of Hamiltonian stationary and special Lagrangian graphs
Arunima Bhattacharya, Gerard Orriols, Anna Skorobogatova
Torus actions, almost non-negative curvature and fundamental groups
Michael Wiemeler
Optimal Transport and the ABP Method in Higher Codimension
Bang-Xian Han, Zhe-Feng Xu
An isoperimetric characterization of a new ADM-like mass for C0-asymptotically flat manifolds
Luca Benatti, Mattia Fogagnolo