When is the Hawking mass monotone under Geometric Flows
  In this paper, we study the relation of the monotonicity of Hawking Mass and geometric flow problems. We show that along the Hamilton-DeTurck flow with bounded curvature coupled with the modified mean curvature flow, the Hawking mass of the hypersphere with a sufficiently large radius in Schwarzschild spaces is monotone non-decreasing. 
J.Bland (Toronto University), Li Ma (Tsinghua University)