Curvature Estimates in Asymptotically Flat Manifolds of Positive Scalar Curvature

Details Curvature Estimates in Asymptotically Flat Manifolds of Positive Scalar Curvature Curvature Estimates in Asymptotically Flat Manifolds of Positive Scalar Curvature

2001-01-10

arxiv.org/abs/math/0101084v2

Commun. in Analysis and Geometry 10 (2002) 1017-1031

Mathematics

Differential Geometry

11 pages, LaTeX (published version)

Scientific paper

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.

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