Wittmann, Johannes (2016) The spinorial energy functional: solutions of the gradient flow on Berger spheres. ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 49 (4). pp. 329-348. ISSN 0232-704X, 1572-9060
Full text not available from this repository. (Request a copy)Abstract
We study the negative gradient flow of the so-called spinorial energy functional on 3-dimensional Berger spheres. For a certain class of spinors we show that the Berger spheres collapse to a 2-dimensional sphere. Moreover, for special cases, we prove that the volume-normalized standard 3-sphere together with a Killing spinor is a stable critical point of the volume-normalized version of the flow.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | DIRAC OPERATOR; Spin geometry; Geometric evolution equation; Gradient flow; Berger spheres; Collapse; Stability |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 22 Mar 2019 09:42 |
| Last Modified: | 22 Mar 2019 09:42 |
| URI: | https://pred.uni-regensburg.de/id/eprint/2839 |
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