  We derive the detailed balance condition as a solution to the Hamilton-Jacobi
equation in the Horava-Lifshitz gravity. This result leads us to propose the
existence of the d-dimensional quantum field theory on the future boundary of
the (d+1)-dimensional Horava-Lifshitz gravity from the viewpoint of the
holographic renormalization group. We also obtain a Ricci flow equation of the
boundary theory as the holographic RG flow, which is the Hamilton equation in
the bulk gravity, by tuning parameters in the theory.
