C2-Regularity for Partially Free Minimal Surfaces.
Cauchy problems for discrete affine minimal surfaces
In this paper we discuss planar quadrilateral (PQ) nets as discrete models for convex affine surfaces. As a main result, we prove a necessary and sufficient condition for a PQ net to admit a Lelieuvre co-normal vector field. Particular attention is given to the class of surfaces with discrete harmonic co-normals, which we call discrete affine minimal surfaces, and the subclass of surfaces with co-planar discrete harmonic co-normals, which we call discrete improper affine spheres. Within this classes,...
Classification of complete minimal surfaces in R3 with total curvature 12... .
Clifford hypersurfaces in a unit sphere.
Coincidence set of minimal surfaces for the thin obstacle.
Compact constant mean curvature surfaces with low genus.
Comparison principles and Liouville theorems for prescribed mean curvature equations in unbounded domains
Comparison principles for hypersurfaces of prescribed mean curvature.
Complete hypersurfaces with constant scalar curvature in a hyperbolic space.
Complete hypersurfaces with constant scalar curvature in a sphere
In this paper, by using Cheng-Yau’s self-adjoint operator , we study the complete hypersurfaces in a sphere with constant scalar curvature.
Complete minimal hypersurfaces in hyperbolic n-manifolds.
Complete minimal surfaces in with type Enneper end
We show that there exists a complete minimal surface immersed into which is conformally equivalent to a compact hyperelliptic Riemann surface of genus three minus one point. The end of the surface is of Enneper type and its total curvature is .
Complete minimal surfaces in R3.
In this paper we review some topics on the theory of complete minimal surfaces in three dimensional Euclidean space.
Complete minimal surfaces of arbitrary genus in a slab of
In this paper we construct complete minimal surfaces of arbitrary genus in with one, two, three and four ends respectively. Furthermore the surfaces lie between two parallel planes of .
Complete minimal surfaces with index one and stable constant mean curvature surfaces.
Complete Non-Orientable Minimal Surfaces in ℝ 3 and Asymptotic Behavior
In this paperwe give new existence results for complete non-orientable minimal surfaces in ℝ3 with prescribed topology and asymptotic behavior
Complete nonorientable minmal surfaces in R3.
Concentrated monotone measures with non-unique tangential behavior in
We show that for every there is a set such that is a monotone measure, the corresponding tangent measures at the origin are non-conical and non-unique and has the -dimensional density between and everywhere in the support.
Conformal Fields and Stability.
Conformal mappings and the Plateau-Douglas problem in Riemannian manifolds.