In the homogeneous space Sol3, a translation surface is parametrized by x(s,t) = α(s) ∗ β(t), where α and β are curves contained in coordinate planes and ∗ denotes the group operation of Sol3. In this paper we study translation surfaces in Sol3 whose mean curvature vanishes.
Rafael LÓPEZ. Marian Ioan MUNTEANU. "Minimal translation surfaces in Sol3." J. Math. Soc. Japan 64 (3) 985 - 1003, July, 2012. https://doi.org/10.2969/jmsj/06430985