On the positive mass theorem for manifolds with corners

Abstract

We study the positive mass theorem for certain non-smooth metrics following P. Miao's work. Our approach is to smooth the metric using the Ricci flow. As well as improving some previous results on the behaviour of the ADM mass under the Ricci flow, we extend the analysis of the zero mass case to higher dimensions.

21 pages, incorporated referee's comments

References in corpus (2)

• On the Riemannian Penrose inequality in dimensions less than 8
• Asymptotically Flat Ricci Flows

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