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The spinorial energy functional on surfaces

The spinorial energy functional on surfaces 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 spinorial Weierstraß representation it relates to the Willmore energy of periodic immersions of surfaces into $$\mathbb {R}^3$$ R 3 . http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Mathematische Zeitschrift Springer Journals

The spinorial energy functional on surfaces

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References (31)

Publisher
Springer Journals
Copyright
Copyright © 2015 by Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Mathematics, general
ISSN
0025-5874
eISSN
1432-1823
DOI
10.1007/s00209-015-1537-1
Publisher site
See Article on Publisher Site

Abstract

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 spinorial Weierstraß representation it relates to the Willmore energy of periodic immersions of surfaces into $$\mathbb {R}^3$$ R 3 .

Journal

Mathematische Zeitschrift – Springer Journals

Published: Sep 28, 2015

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