The Gauss-Bonnet-Chern mass of conformally flat manifolds
Yuxin Ge, Guofang Wang, Jie Wu
TL;DR
This paper establishes positive mass theorems and Penrose inequalities for the Gauss-Bonnet-Chern mass in asymptotically flat conformally flat manifolds, providing new insights into geometric analysis and mathematical physics.
Contribution
It introduces and proves positive mass theorems and Penrose inequalities for the recently defined Gauss-Bonnet-Chern mass in conformally flat manifolds.
Findings
Positive mass theorem for Gauss-Bonnet-Chern mass
Penrose type inequalities established
Rigidity results for 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.
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