The spinorial energy functional on surfaces

Abstract

This is a companion paper to arXiv:1207.3529 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 spinorial Weierstraß representation it relates to the Willmore energy of periodic immersions of surfaces into ${\mathbb{R}}^3$.

minor changes, to appear in Math. Z

References in corpus (2)

• The spinorial energy functional on surfaces
• Ricci-flat deformations and special holonomy

Cited by in corpus (13)

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