A Weighted L²-Estimate of the Witten Spinor in Asymptotically Schwarzschild Manifolds

Felix Finster and Margarita Kraus

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Submission date: 19. Apr. 2005
Pages: 23
published in: Canadian journal of mathematics, 59 (2007) 5, p. 943-965 
DOI number (of the published article): 10.4153/CJM-2007-040-1
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Abstract:
We derive a weighted L2-estimate of the Witten spinor in a complete Rie­mannian spin manifold 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.