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The spinoral energy functional on surfaces

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Ammann, Bernd ; Weiss, Hartmut ; Witt, Frederik
Date of publication of this fulltext: 27 Jun 2016 07:08


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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