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

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

2005-01-13

arxiv.org/abs/math/0501195v4

Canad. J. Math. 59 (2007) 943-965

Mathematics

Differential Geometry

21 pages, 1 figure, error in Lemma 5.1 corrected (published version)

Scientific paper

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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