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.
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 $M$.