13 research outputs found
On the Jacobian of minimal graphs in R^4
We provide a characterization for complex analytic curves among
two-dimensional minimal graphs in via the Jacobia
Complete minimal hypersurfaces in the hyperbolic space with vanishing Gauss-Kronecker curvature
We investigate 3-dimensional complete minimal hypersurfaces in the hyperbolic
space 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