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 ( 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

A Weighted $L^2$-Estimate of the Witten Spinor in Asymptotically Schwarzschild Manifolds

Felix Finster and Margarita Kraus


We derive a weighted $L2$-estimate of the Witten spinor in a complete Rie­mannian spin manifold $(M^n, g)$ of non-negative scalar curvature which is asymptotically Schwarz­schild. The interior geometry of $M$ enters this estimate only via the lowest eigenvalue of the square of the Dirac operator on a conformal compactification of $M$.


Related publications

2007 Repository Open Access
Felix Finster and Margarita Kraus

A weighted \({L^2}\)-estimate of the Witten spinor in asymptotically Schwarzschild manifolds

In: Canadian journal of mathematics, 59 (2007) 5, pp. 943-965