A Weighted L^2-Estimate of the Witten Spinor in Asymptotically Schwarzschild Manifolds
arXiv:math/0501195 · doi:10.4153/CJM-2007-040-1
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 $M$.
21 pages, 1 figure, error in Lemma 5.1 corrected (published version)