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1. CJM 2007 (vol 59 pp. 943)
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A Weighted $L^2$-Estimate of the Witten Spinor in Asymptotically Schwarzschild Manifolds 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 $M$.
Categories:83C60, 35Q75, 35J45, 58J05 |