HELICOIDAL SURFACES IN THE THREE-DIMENSIONAL LORENTZ-MINKOWSKI SPACE SATISFYING Δ^<II>_r = Ar

In this paper we study the helicoidal surfaces in the three-dimensional Lorentz-Minkowski space under the condition Δ^<II>_r = Ar, where A is a real 3 × 3 matrix and Δ^<II> is the Laplace operator with respect to the second fundamental form

Translation surfaces of finite type in Sol3{\rm Sol}_{3}

summary:In the homogeneous space Sol$_{3}$, a translation surface is parametrized by $r(s,t)=\gamma _{1}(s)\ast \gamma _{2}(t)$, where $\gamma _{1}$ and $\gamma _{2}$ are curves contained in coordinate planes. In this article, we study translation invariant surfaces in ${\rm Sol}_{3}$, which has finite type immersion

THA-surfaces of finite type in the Galilean space 3

In this article, we study THA-surfaces in the Galilean space 3, which has finite type immersion