  In this paper, we utilize an analog model of the general relativity and
investigate the influence of spatial curvature on quantum properties of
stimulated parametric down-conversion process. For this purpose, we use
two-mode sphere coherent state as the input beams of the aforementioned
process. These states are realization of coherent states of two-dimensional
harmonic oscillator, which lies on a two-dimension sphere. We calculate the
entanglement of output states of stimulated parametric down conversion process,
measured by linear entropy, and show that it depends on the spatial curvature.
So, by preparing the suitable two-mode sphere coherent states, it is possible
to control the entanglement between the output states in the laboratory. In
addition, we consider mean number and Mandel parameter of the output states of
the process and also, their cross-correlation function, as the convince
measures of non-classical behaviors.
