The Gauss-Bonnet-Chern mass of conformally flat manifolds

Abstract

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.

17 pages, references added, the statement of Prop. 4.6 corrected