The Gauss-Bonnet-Chern mass of conformally flat manifolds
  In this paper we show positive mass theorems and Penrose type inequalities for the Gauss-Bonnet-Chern mass, which was introduced recently in \cite{GWW}, for asymptotically flat CF manifolds and its rigidity. 
Yuxin Ge, Guofang Wang, Jie Wu
math.DG gr-qc