The positive mass Theorem and Penrose inequality for graphical manifolds

2013/04/11 by Heudson Mirandola, Mirandola, Heudson, Feliciano Vitorio +1 · 1 citation
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #math.DG

paper · pdf · doi:10.48550/arxiv.1304.3504

Preliminary version

arxiv created 2013/04/11 · arxiv updated 2013/04/15

Abstract

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.

Cited by

• The Gauss-Bonnet-Chern mass for graphic manifolds

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