Curvature estimates in asymptotically flat manifolds of positive scalar curvature

Finster, Felix and Kath, Ines (2002) Curvature estimates in asymptotically flat manifolds of positive scalar curvature. COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 10 (5). pp. 1017-1031. ISSN 1019-8385

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Abstract

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.

Item Type: Article
Uncontrolled Keywords: ENERGY THEOREM; PROOF; MASS;
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics > Prof. Dr. Felix Finster
Depositing User: Dr. Gernot Deinzer
Date Deposited: 25 Aug 2021 12:15
Last Modified: 25 Aug 2021 12:15
URI: https://pred.uni-regensburg.de/id/eprint/39596

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