The Gauss-Bonnet-Chern mass of higher codimension graphical manifolds
classification
🧮 math.DG
gr-qc
keywords
masscodimensionflatgauss-bonnet-cherngraphicalarbitraryasymptoticallybundle
read the original 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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