On the Jacobian of minimal graphs in R^4

We provide a characterization for complex analytic curves among two-dimensional minimal graphs in $\mathbb{R}^{4}$ via the Jacobia

Complete minimal hypersurfaces in the hyperbolic space H4\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

Quadric Representation and Clifford Minimal Hypersurfaces

The Clifford minimal hypersurfaces in the (n + 1)-dimensional unit hypersphere are the only compact, minimal and non-totally geodesic spherical hypersurfaces possessing the following property: Its quadric representation is mass-symmetric in some hypersphere and minimal in some concentric hyperquadric