Two examples of spectral-genus-three tori [2,3,1] constructed by bending a straight spectral-genus-two cylinder [3].
A straight cylinder of spectral genus 2, to be bent into a rattlesnake torus of spectral genus 3.Rattlesnake torus.A straight cylinder of spectral genus 2, to be bent into a rattlesnake torus of spectral genus 3.Rattlesnake torus.
References
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N. Hitchin, Harmonic maps from a 2-torus to the 3-sphere, J. Differential Geom.31(1990), no. 3, 627—710 [1053342].
M. Kilian and M. Schmidt, On the moduli of constant mean curvature cylinders of finite type in the 3-sphere, arXiv:0712:0108v2(2008)link.
M. Kilian and M. Schmidt, On the moduli of constant mean curvature cylinders of finite type in the 3-sphere, arXiv:0712:0108v2(2008)link.
