Homological Filling and Minimal Varifolds in Four-Dimensional Einstein Manifolds

Wenjie Fu, Zhifei Zhu

We study the smallest area $A(M,g)$ of a 2-dimensional stationary integral varifold in a closed Einstein 4-manifold $(M^4,g)$ with $Ric_g = λg, |λ|\leq 3, Vol(M,g)\geq v>0, diam(…