Isoperimetric Sets in Nonnegative Scalar Curvature and Their Role Through Various Concepts of Mass
摘要
We review some recent results about the relations among isoperimetric sets, Penrose inequalities and related concepts in the analysis of 3-manifolds of nonnegative scalar curvature. We also show that if the isoperimetric sets of big volume have connected boundaries, the equivalence among suitable notions of mass hold.