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arXiv · 2206.06625

Minimal cylinders in the three-dimensional Heisenberg group

Shimpei Kobayashi
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Abstract

We study minimal cylinders in the three-dimensional Heisenberg group ${\rm Nil}_3$ using the generalized Weierstrass type representation, the so-called loop group method. We characterize all non-vertical minimal cylinders in terms of pairs of two closed plane curves which have the same signed area. Moreover, as a byproduct of the construction, spacelike CMC cylinders can also be obtained.

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Shimpei Kobayashi. 2022-06-14. Minimal cylinders in the three-dimensional Heisenberg group. https://arxiv.org/abs/2206.06625

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