Effective versions of the positive mass theorem

The study of stable minimal surfaces in Riemannian 3-manifolds ( M ,  g ) with non-negative scalar curvature has a rich history. In this paper, we prove rigidity of such surfaces when ( M ,  g ) is asymptotically flat and has horizon boundary. As a consequence, we obtain an effective version of the...

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Veröffentlicht in:	Inventiones mathematicae 2016-12, Vol.206 (3), p.975-1016
Hauptverfasser:	Carlotto, Alessandro, Chodosh, Otis, Eichmair, Michael
Format:	Artikel
Sprache:	eng
Schlagworte:	Asymptotic properties Boundaries Curvature Mathematical analysis Mathematics Mathematics and Statistics Scalars Texts Theorem proving Theorems
Online-Zugang:	Volltext
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