Minimal translation surfaces in $Sol_3$

Details Minimal translation surfaces in $Sol_3$ Minimal translation surfaces in $Sol_3$

2010-10-06

arxiv.org/abs/1010.1085v1

Mathematics

Differential Geometry

18 pages

Scientific paper

In the homogeneous space Sol$_3$, a translation surface is parameterized by
$x(s,t)=\alpha(s)\ast\beta(t)$, where $\alpha$ and $\beta$ 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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