Finster, Felix (2009) A LEVEL SET ANALYSIS OF THE WITTEN SPINOR WITH APPLICATIONS TO CURVATURE ESTIMATES. MATHEMATICAL RESEARCH LETTERS, 16 (1). pp. 41-55. ISSN 1073-2780,
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We analyze the level sets of the norm of the Witten spinor in an asymptotically flat Riemannian spin manifold of positive scalar curvature, Level sets of small area are constructed. We prove curvature estimates which quantify that, if the total mass becomes small, the manifold becomes flat with the exception of a set of small surface area. These estimates involve either a volume bound or a spectral bound for the Dirac operator on a conformal compactification, but they are independent of the isoperimetric constant.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | POSITIVE ENERGY THEOREM; GENERAL-RELATIVITY; PROOF; MASS; MANIFOLDS; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics Mathematics > Prof. Dr. Felix Finster |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 13 Oct 2020 06:02 |
| Last Modified: | 13 Oct 2020 06:02 |
| URI: | https://pred.uni-regensburg.de/id/eprint/29803 |
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