Ammann, Bernd and Kroencke, Klaus and Weiss, Hartmut and Witt, Frederik (2019) Holonomy rigidity for Ricci-flat metrics. MATHEMATISCHE ZEITSCHRIFT, 291 (1-2). pp. 303-311. ISSN 0025-5874, 1432-1823
Full text not available from this repository. (Request a copy)Abstract
On a closed connected oriented manifold M we study the space M-parallel to(M) of all Riemannian metrics which admit a non-zero parallel spinor on the universal covering. Such metrics are Ricci-flat, and all known Ricci-flat metrics are of this form. We show the following: The space M-parallel to(M) is a smooth submanifold of the space of all metrics and its premoduli space is a smooth finite-dimensional manifold. The holonomy group is locally constant on M-parallel to(M). If M is spin, then the dimension of the space of parallel spinors is a locally constant function on M-parallel to(M).
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Bernd Ammann |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 22 Apr 2020 06:07 |
| Last Modified: | 22 Apr 2020 06:07 |
| URI: | https://pred.uni-regensburg.de/id/eprint/27578 |
Actions (login required)
 |
View Item |
