The Gauss-Bonnet-Chern mass of higher codimension graphical manifolds
arXiv:1509.00456 · doi:10.2140/pjm.2019.298.201
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.