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The spinoral energy functional on surfaces
Ammann, Bernd, Weiss, Hartmut and Witt, Frederik (2014) The spinoral energy functional on surfaces. Preprintreihe der Fakultät Mathematik 12/2014, Working Paper.Date of publication of this fulltext: 27 Jun 2016 07:08
Monograph
DOI to cite this document: 10.5283/epub.33950
Abstract
This is a companion paper to [1] where we introduced the spino-
rial 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 spinorial Weierstraß representation it relates
to the Willmore energy of periodic immersions of surfaces into R3.
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Details
| Item type | Monograph (Working Paper) |
| Series of the University of Regensburg: | Preprintreihe der Fakultät Mathematik |
|---|---|
| Volume: | 12/2014 |
| Date | 2014 |
| Institutions | Mathematics > Prof. Dr. Bernd Ammann |
| Dewey Decimal Classification | 500 Science > 510 Mathematics |
| Status | Unknown |
| Refereed | No, this version has not been refereed yet (as with preprints) |
| Created at the University of Regensburg | Yes |
| URN of the UB Regensburg | urn:nbn:de:bvb:355-epub-339509 |
| Item ID | 33950 |
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