  We prove qualitative estimates on the total curvature of closed minimal
hypersurfaces in closed Riemannian manifolds in terms of their index and area,
restricting to the case where the hypersurface has dimension less than seven.
In particular, we prove that if we are given a sequence of closed minimal
hypersurfaces of bounded area and index, the total curvature along the sequence
is quantised in terms of the total curvature of some limit surface, plus a sum
of total curvatures of complete properly embedded minimal hypersurfaces in
Euclidean space - all of which are finite. Thus, we obtain qualitative control
on the topology of minimal hypersurfaces in terms of index and area as a
corollary.
