A Weighted L2-Estimate of the Witten Spinor in Asymptotically Schwarzschild Manifolds
Felix Finster, Margarita Kraus
Abstract
We derive a weighted L2-estimate of the Witten spinor in a complete Riemannian spin manifold (Mn,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.
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