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Search: MSC category 83C60 ( Spinor and twistor methods; Newman-Penrose formalism )

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1. CJM 2007 (vol 59 pp. 943)

Finster, Felix; Kraus, Margarita
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

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