Complete minimal hypersurfaces in the hyperbolic space $\mathbb{H}^4$   with vanishing Gauss-Kronecker curvature
  We investigate 3-dimensional complete minimal hypersurfaces in the hyperbolic space $\mathbb{H}^{4}$ with Gauss-Kronecker curvature identically zero. More precisely, we give a classification of complete minimal hypersurfaces with Gauss-Kronecker curvature identically zero, nowhere vanishing second fundamental form and scalar curvature bounded from below. 
T. Hasanis, A. Savas-Halilaj and T. Vlachos