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

Felix Finster·Margarita Kraus
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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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BibTeXRIS

Felix Finster, Margarita Kraus. 2005-01-13. A Weighted L^2-Estimate of the Witten Spinor in Asymptotically Schwarzschild Manifolds. https://doi.org/10.4153/cjm-2007-040-1

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