The Gauss-Bonnet-Chern mass of higher codimension graphical manifolds
Differential Geometry
2019-02-13 v3 General Relativity and Quantum Cosmology
Abstract
We give an explicit formula for the Gauss-Bonnet-Chern mass of an asymptotically flat graphical manifold of arbitrary codimension and use it to prove the positive mass theorem and the Penrose inequality for graphs with flat normal bundle.
Keywords
Cite
@article{arxiv.1509.00456,
title = {The Gauss-Bonnet-Chern mass of higher codimension graphical manifolds},
author = {Alexandre de Sousa and Frederico Girão},
journal= {arXiv preprint arXiv:1509.00456},
year = {2019}
}