The Gauss-Bonnet-Chern mass of conformally flat manifolds
Differential Geometry
2012-12-18 v2 General Relativity and Quantum Cosmology
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.
Keywords
Cite
@article{arxiv.1212.3213,
title = {The Gauss-Bonnet-Chern mass of conformally flat manifolds},
author = {Yuxin Ge and Guofang Wang and Jie Wu},
journal= {arXiv preprint arXiv:1212.3213},
year = {2012}
}
Comments
17 pages, references added, the statement of Prop. 4.6 corrected