Translator Disclaimer
15 July 2011 Symmetry of embedded genus 1 helicoids
Jacob Bernstein, Christine Breiner
Author Affiliations +
Duke Math. J. 159(1): 83-97 (15 July 2011). DOI: 10.1215/00127094-1384791

Abstract

In this article, we use the Lopez-Ros deformation to show that any embedded genus 1 helicoid (or “genus-one helicoid”) must be symmetric with respect to rotation by 180° around a normal line. This partially answers a conjecture of Bobenko. We also show that this symmetry holds for an embedded genus k helicoid Σ, provided that the underlying conformal structure of Σ is hyperelliptic.

Citation

Download Citation

Jacob Bernstein. Christine Breiner. "Symmetry of embedded genus 1 helicoids." Duke Math. J. 159 (1) 83 - 97, 15 July 2011. https://doi.org/10.1215/00127094-1384791

Information

Published: 15 July 2011
First available in Project Euclid: 11 July 2011

zbMATH: 1228.53008
MathSciNet: MR2817649
Digital Object Identifier: 10.1215/00127094-1384791

Subjects:
Primary: 14H40
Secondary: 37K10

Rights: Copyright © 2011 Duke University Press

JOURNAL ARTICLE
15 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.159 • No. 1 • 15 July 2011
Back to Top