The mean curvature of the second fundamental form of a hypersurface.
The Moduli Space of Complete Embedded Constant Mean Cuvature Surfaces.
The nonexistence of a weak solution of Dirichlet's problem for the functional of minimal surface on nonconvex domains
The Novikov-Veselov hierarchy of equations and integrable deformations of minimal Lagrangian tori in .
The PDE describing constant mean curvature surfaces
We give an expository account of a Weierstrass type representation of the non-zero constant mean curvature surfaces in space and discuss the meaning of the representation from the point of view of partial differential equations.
The Plateau problem for the prescribed mean curvature equation
The regularity of the trace for minimal surfaces
The second variation of area of minimal surfaces in four-manifolds.
The space of minimal embeddings of a surface into a three-dimensional manifold of positive Ricci curvature.
The strong halfspace theorem for minimal surfaces.
The Structure of Minimizing Hypersurfaces Mod 4.
The structure of single-periodic minimal surfaces.
The topology of large -surfaces bounded by a convex curve
The triply periodic minimal surfaces of Alan Schoen and their constant mean curvature companions.
The uniqueness for minimal surfaces in S3.
Torsion von Minimalflächen.
Two-jets of conformal fields along their zero sets
The connected components of the zero set of any conformal vector field v, in a pseudo-Riemannian manifold (M, g) of arbitrary signature, are of two types, which may be called ‘essential’ and ‘nonessential’. The former consist of points at which v is essential, that is, cannot be turned into a Killing field by a local conformal change of the metric. In a component of the latter type, points at which v is nonessential form a relatively-open dense subset that is at the same time a totally umbilical...