  In this paper, we prove that for any closed 4-dimensional Riemannian manifold
$M$ with trivial first homology group, if the Ricci curvature $|Ric|\leq3$, the
diameter $diam(M)\leq D$ and the volume $vol(M)>v>0$, then the area of a
smallest 2-dimensional stationary integral varifold in $M$ is bounded by
F(v,D), for some function F that only depends on v and D. Our bound for the
area is based on the estimation of the first homological filling function of
$M$.

Differential Geometry