  We show that the UV-regime at the Lifshitz point $z=3$ is equivalent to work
with a momenta manifold whose topology is the same as that of an $AdS_2\times
S^2$ space. According to Snyder's theory, curved momentum space is related to
non-commutative quantized spacetime. In this sense, our analysis suggests an
equivalence between Horava-Lifshitz and Snyder's theory.
