Ammann, Bernd and Weiss, Hartmut and Witt, Frederik (2016) The spinorial energy functional on surfaces. MATHEMATISCHE ZEITSCHRIFT, 282 (1-2). pp. 177-202. ISSN 0025-5874, 1432-1823
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This is a companion paper to ( Ammann et al. in A spinorial energy functional: critical points and gradient flow. arXiv: 1207.3529, 2012) where we introduced the spinorial energy functional and studied its main properties in dimensions equal or greater than three. In this article we focus on the surface case. A salient feature here is the scale invariance of the functional which leads to a plenitude of critical points. Moreover, via the spinorialWeierstraa representation it relates to the Willmore energy of periodic immersions of surfaces into R-3.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | HARMONIC SPINORS; DIRAC OPERATOR; HYPERSURFACES; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Bernd Ammann |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 14 Mar 2019 09:49 |
| Last Modified: | 14 Mar 2019 09:49 |
| URI: | https://pred.uni-regensburg.de/id/eprint/2490 |
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