Non-null helicoidal surfaces as non-null Bonnet surfaces

Abdullah Inalcık, Soley Ersoy

In this study, we obtain an equivalent of the Codazzi-Mainardi equations for spacelike and timelike surfaces in three dimensional Lorentz space $\Bbb{R}_1^3$. Also, we find necessary and sufficient conditions for spacelike and timelike helicoidal surfaces with non-null axis to be Bonnet surfaces.