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arXiv:math/0101084 [math.DG]AbstractReferencesReviewsResources

Curvature Estimates in Asymptotically Flat Manifolds of Positive Scalar Curvature

Felix Finster, Ines Kath

Published 2001-01-10, updated 2001-12-05Version 2

We consider an asymptotically flat Riemannian spin manifold of positive scalar curvature. 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.

Comments: 11 pages, LaTeX (published version)
Journal: Commun. in Analysis and Geometry 10 (2002) 1017-1031
Categories: math.DG, math-ph, math.MP
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