A parabolic analogue of Finn's maximum principle.
A parametric variational principle for minimal surfaces of varying topological type.
A Pertubation Theorem for Surfaces of Constant Mean Curvature.
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 projective characterization of the Veronese surface
A projective Gauss map associated with a hypersurface and a hyperplane.
A proof of the Chern-Lashof conjecture in dimensions greater than five.
A quartic conformally covariant differential operator for arbitrary pseudo-Riemannian manifolds (Summary).
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 remark on semi-∇-flat functions
We give a pointwise characterization of semi-∇-flat functions on an affine manifold (M,∇).
A Rigidity Theorem for Higher Codimensions.
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 singular example for the averaged mean curvature flow.
A Singular Solution of the Capillary Equation. I. Existence.
A Singular Solution of the Capillary Equation. II. Uniqueness.
A Singularity Theorem for Twistor Spinors
We study spin structures on orbifolds. In particular, we show that if the singular set has codimension greater than 2, an orbifold is spin if and only if its smooth part is. On compact orbifolds, we show that any non-trivial twistor spinor admits at most one zero which is singular unless the orbifold is conformally equivalent to a round sphere. We show the sharpness of our results through examples.