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arXiv · 1010.1085

Minimal translation surfaces in $Sol_3$

Rafael López·Marian Ioan Munteanu
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Abstract

In the homogeneous space Sol$_3$, a translation surface is parameterized by $x(s,t)=α(s)\astβ(t)$, where $α$ and $β$ are curves contained in coordinate planes and $\ast$ denotes the group operation of Sol$_3$. In this paper we study translation surfaces in Sol$_3$ whose mean curvature vanishes.

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Rafael López, Marian Ioan Munteanu. 2010-10-06. Minimal translation surfaces in $Sol_3$. https://arxiv.org/abs/1010.1085

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