Analytic results are presented for preheating in both flat and open models of chaotic inflation, for the case of massless inflaton decay into further inflaton quanta. It is demonstrated that preheating in both these cases closely resembles that in Minkowski spacetime. Furthermore, quantitative differences between preheating in spatially flat and open models of inflation remain of order 10^-2 for the chaotic inflation initial conditions considered here.
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David Kaiser (1997) studied this question.