A priori Bounds and necessary conditions for solvability of prescribed curvature equations.
A Priori estimates for minimal surfaces with free boundary, which are not minima of the area.
A regularity theorem for curvature flows.
A remark about minimal surfaces with flat embedded ends.
A remark on almost umbilical hypersurfaces
In this article, we prove new stability results for almost-Einstein hypersurfaces of the Euclidean space, based on previous eigenvalue pinching results. Then, we deduce some comparable results for almost umbilical hypersurfaces.
A rigidity theorem for Riemann's minimal surfaces
We describe first the analytic structure of Riemann’s examples of singly-periodic minimal surfaces; we also characterize them as extensions of minimal annuli bounded by parallel straight lines between parallel planes. We then prove their uniqueness as solutions of the perturbed problem of a punctured annulus, and we present standard methods for determining finite total curvature periodic minimal surfaces and solving the period problems.
A short proof of the minimality of Simons cone
A strong minimax property of nondegenerate minimal submanifolds.
A subsidiary variational problem and existence criteria for capillary surfaces.
A variational problem for constant mean curvature surfaces with free boundary.
A Weierstrass-Kenmotsu formula for prescribed mean curvature surfaces in hyperbolic space
Absolute gradient bound for surfaces of constant mean curvature
Affine isoperimetric problems and surfaces with constant affine mean curvature.
Algebraic representation formulas for null curves in Sl(2,ℂ)
We study curves in Sl(2,ℂ) whose tangent vectors have vanishing length with respect to the biinvariant conformal metric induced by the Killing form, so-called null curves. We establish differential invariants of them that resemble infinitesimal arc length, curvature and torsion of ordinary curves in Euclidean 3-space. We discuss various differential-algebraic representation formulas for null curves. One of them, a modification of the Bianchi-Small formula, gives an Sl(2,ℂ)-equivariant bijection...
All constant mean curvature tori in R3, S3, H3 in terms of theta-functions.
Almost Every Curve in R3 Bounds a Unique Area Minimizing Surface.
An a Priori Estimate for the Oscillation of the Normal to a Hypersurface Whose First and Second Variation With Respect to an Elliptic Integrand is Controlled.
An algorithm for evolutionary surfaces.
An -system for a revolution surface without boundary.
An Inequality between the Exterior Diameter and the Mean Curvature of Bounded Immersions.