  An intriguing result presented by two of the present authors is that an anti
de Sitter space can be derived from a conformal field theory by considering a
flow equation. A natural expectation is that given a certain data on the
boundary system, the associated geometry would be able to emerge from a flow,
even beyond the conformal case. As a step along this line, we examine this
scenario for non-relativistic systems with anisotropic scaling symmetries, such
as Lifshitz field theories and Schr\"odinger invariant theories. In consequence
we obtain a new hybrid geometry of Lifshitz and Schr\"odinger spacetimes as a
general holographic geometry in this framework. We confirm that this geometry
reduces to each of them by considering special non-relativistic models.
