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arxiv: 1304.6561 · v1 · pith:OACICZFFnew · submitted 2013-04-24 · 🧮 math.DG

The Gauss-Bonnet-Chern mass for graphic manifolds

classification 🧮 math.DG
keywords massgauss-bonnet-cherngraphicbundleflatinequalitymanifoldmanifolds
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In this paper, we prove a positive mass theorem and Penrose-type inequality of the Gauss-Bonnet-Chern mass $m_2$ for the graphic manifold with flat normal bundle.

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