Search

MiS Preprint Repository

Delve into the future of research at MiS with our preprint repository. Our scientists are making groundbreaking discoveries and sharing their latest findings before they are published. Explore repository to stay up-to-date on the newest developments and breakthroughs.

MiS Preprint
35/2005

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

Felix Finster and Margarita Kraus

Abstract

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 $M$.

Received:
Apr 19, 2005
Published:
Apr 19, 2005

Related publications

inJournal
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