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arXiv · 1509.00456

The Gauss-Bonnet-Chern mass of higher codimension graphical manifolds

Alexandre de Sousa·Frederico Girão
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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.

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Alexandre de Sousa, Frederico Girão. 2015-09-01. The Gauss-Bonnet-Chern mass of higher codimension graphical manifolds. https://doi.org/10.2140/pjm.2019.298.201

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