Search

MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
9/2001

Curvature estimates in asymptotically flat manifolds of positive scalar curvature

Felix Finster and Ines Kath

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.

Received:
Feb 27, 2001
Published:
Feb 27, 2001

Related publications

inJournal
2002 Repository Open Access
Felix Finster and Ines Kath

Curvature estimates in asymptotically flat manifolds of positive scalar curvature

In: Communications in analysis and geometry, 10 (2002) 5, pp. 1017-1031