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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 $M$.
