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arxiv: 1304.3504 · v1 · pith:YIBO6J2Ynew · submitted 2013-04-11 · 🧮 math.DG

The positive mass Theorem and Penrose inequality for graphical manifolds

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keywords massgraphicalinequalitymanifoldspenrosepositivetheoremallow
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We give, via elementary methods, explicit formulas for the ADM mass which allow us to conclude the positive mass theorem and Penrose inequality for a class of graphical manifolds which includes, for instance, that ones with flat normal bundle.

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