Curvature estimates in asymptotically flat manifolds of positive scalar curvature

Felix Finster and Ines Kath

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Submission date: 27. Feb. 2001
Pages: 13
published in: Communications in analysis and geometry, 10 (2002) 5, p. 1017-1031 
DOI number (of the published article): 10.4310/CAG.2002.v10.n5.a6
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Abstract:
We consider an asymptotically flat Riemannian spin manifold of positive scalarcurvature. An inequality is derived which bounds the Riemann tensor in terms of the total mass and quantifies in which sense curvature must become small when the total mass tends to zero.