49 citations · 106 across the 12 of their papers we have counts for
Showing 2012 · math.DGShow all
3 papers · 2 filters
math.DG2012
The Gauss-Bonnet-Chern mass of conformally flat manifolds
Yuxin Ge, Guofang Wang, Jie Wu
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…
math.DG2012★ 2 cited
A positive mass theorem in the Einstein-Gauss-Bonnet theory
Yuxin Ge, Guofang Wang, Jie Wu
As an interesting application of the Einstein-Gauss-Bonnet theory and our work on the Gauss-Bonnet-Chern mass (Ge, Wang, Wu), we obtain a positive mass theorem for asymptotically f…
math.DG2012★ 10 cited
A new mass for asymptotically flat manifolds
Yuxin Ge, Guofang Wang, Jie Wu
In this paper we introduce a mass for asymptotically flat manifolds by using the Gauss-Bonnet curvature. We first prove that the mass is well-defined and is a geometric invariant,…