We prove positivity of energy for a class of asymptotically locally hyperbolic manifolds in dimensions 4 ≤n ≤7. The result is established by first proving deformation-of-mass-aspect theorems in dimensions n ≥ 4. Our positivity results extend to the case n = 3 when more stringent conditions are imposed.
- asymptotically hyperbolic manifolds
- hyperbolic mass
- mass aspect
- metric deformation
ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)