Generic continuity of metric entropy for volume-preserving diffeomorphisms

Let M be a compact manifold and Diffm1(M) be the set of C1 volume-preserving diffeomorphisms of M. We prove that there is a residual subset R⊂Diffm1(M) such that each f∈R is a continuity point of the map g→hm(g) from Diffm1(M) to R, where hm(g) is the metric entropy of g with respect to volume measure m.