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arXiv · 2606.21566

On the uniqueness of Minimal Translation Surfaces in the Heisenberg Group

Christiam Figueroa
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Abstract

In this paper, we establish a complete classification of minimal translation surfaces within the 3-dimensional Heisenberg group $\mathcal{H}_3$. While translation surfaces in $\mathcal{H}_3$ yield diverse families of solutions depending on the choice of generating curves, we prove that, up to isometries of $\mathcal{H}_3$, there exists a unique class of translation surfaces.

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Christiam Figueroa. 2026-06-19. On the uniqueness of Minimal Translation Surfaces in the Heisenberg Group. https://arxiv.org/abs/2606.21566

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