Hermann, Andreas (2010) Generic metrics and the mass endomorphism on spin three-manifolds. ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 37 (2). pp. 163-171. ISSN 0232-704X,
Full text not available from this repository. (Request a copy)Abstract
Let (M, g) be a closed Riemannian spin manifold. The constant term in the expansion of the Green function for the Dirac operator at a fixed point p is an element of M is called the mass endomorphism in p associated to the metric g due to an analogy to the mass in the Yamabe problem. We show that the mass endomorphism of a generic metric on a three-dimensional spin manifold is nonzero. This implies a strict inequality which can be used to avoid bubbling-off phenomena in conformal spin geometry.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | DIRAC OPERATOR; SCALAR CURVATURE; YAMABE PROBLEM; EIGENVALUE; MANIFOLDS; BOUNDS; Conformal differential geometry; Spin geometry |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 07 Aug 2020 08:56 |
| Last Modified: | 07 Aug 2020 08:56 |
| URI: | https://pred.uni-regensburg.de/id/eprint/25168 |
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