  In this paper, based on an intrinsic definition of asymptotically AdS
space-times, we show that the standard anti-de Sitter space-time is the unique
strictly stationary asymptotically AdS solution to the vacuum Einstein
equations with negative cosmological constant in dimension less than 7. Instead
of using the positive energy theorem for asymptotically hyperbolic spaces our
approach appeals to the classic positive mass theorem for asymptotically flat
spaces.
