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arxiv: 1212.3213 · v2 · pith:ZVP3VZYVnew · submitted 2012-12-13 · 🧮 math.DG · gr-qc

The Gauss-Bonnet-Chern mass of conformally flat manifolds

classification 🧮 math.DG gr-qc
keywords massflatgauss-bonnet-chernmanifoldsasymptoticallyciteconformallyinequalities
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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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