Ammann, Bernd and Moroianu, Andrei and Moroianu, Sergiu (2013) The Cauchy Problems for Einstein Metrics and Parallel Spinors. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 320 (1). pp. 173-198. ISSN 0010-3616, 1432-0916
Full text not available from this repository. (Request a copy)Abstract
The restriction of a parallel spinor on some spin manifold to a hypersurface is a generalized Killing spinor on M. We show, conversely, that in the real analytic category, every spin manifold (M, g) carrying a generalized Killing spinor psi can be isometrically embedded as a hypersurface in a spin manifold carrying a parallel spinor whose restriction to M is psi. We also answer negatively the corresponding question in the smooth category.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | DIRAC OPERATOR; ELLIPTIC-SYSTEMS; KILLING SPINORS; RICCI CURVATURE; EIGENVALUE; HYPERSURFACES; EXISTENCE; UNIQUE; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Bernd Ammann |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 15 Apr 2020 13:44 |
| Last Modified: | 15 Apr 2020 13:44 |
| URI: | https://pred.uni-regensburg.de/id/eprint/16738 |
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