Ammann, Bernd and Weiss, Hartmut and Witt, Frederik (2016) A spinorial energy functional: critical points and gradient flow. MATHEMATISCHE ANNALEN, 365 (3-4). pp. 1559-1602. ISSN 0025-5831, 1432-1807
Full text not available from this repository. (Request a copy)Abstract
Let M be a compact spin manifold. On the universal bundle of unit spinors we study a natural energy functional whose critical points, if , are precisely the pairs consisting of a Ricci-flat Riemannian metric g together with a parallel g-spinor . We investigate the basic properties of this functional and study its negative gradient flow, the so-called spinor flow. In particular, we prove short-time existence and uniqueness for this flow.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | PARALLEL SPINORS; RIEMANNIAN-MANIFOLDS; HOLONOMY GROUPS; METRICS; DEFORMATIONS; GEOMETRY; G2; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Bernd Ammann |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 08 Apr 2019 08:05 |
| Last Modified: | 08 Apr 2019 08:05 |
| URI: | https://pred.uni-regensburg.de/id/eprint/3606 |
Actions (login required)
 |
View Item |
