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

Finster, Felix ; Kraus, Margarita

Canadian journal of mathematics, Tome 59 (2007) no. 5, pp. 943-965

Résumé

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 $M$ .

Détail

DOI : 10.4153/CJM-2007-040-1

Mots-clés : 83C60, 35Q75, 35J45, 58J05

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