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On the positive mass theorem for manifolds with corners. (English) Zbl 1253.53032

The authors study the positive mass theorem for certain non-smooth metrics following P. Miao’s work. Their approach is smoothing of the metric using the Ricci flow. As well as improving some previous results on the bahaviour of the ADM mass under the Ricci flow, they extend the analysis of the zero mass case to higher dimensions.
Reviewer: Jan Kurek (Lublin)

MSC:

53C20 Global Riemannian geometry, including pinching
58K99 Theory of singularities and catastrophe theory
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