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A Weighted ${{L}^{2}}$-Estimate of the Witten Spinor in Asymptotically Schwarzschild Manifolds
Published online by Cambridge University Press: 20 November 2018
Abstract
We derive a weighted ${{L}^{2}}$-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 $M$.
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- Copyright © Canadian Mathematical Society 2007
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