Tautness and Lie Sphere Geometry.
The Area of the Generalized Gaussian Image and the Stability of Minimal Surfaces in Sn and IRn.
The area preserving curve shortening flow with Neumann free boundary conditions
We study the area preserving curve shortening flow with Neumann free boundary conditions outside of a convex domain in the Euclidean plane. Under certain conditions on the initial curve the flow does not develop any singularity, and it subconverges smoothly to an arc of a circle sitting outside of the given fixed domain and enclosing the same area as the initial curve.
The Bochner Laplacian, Riemannian submersions, heat content asymptotics, and heat equation asymptotics
The bounds for the squared norm of the second fundamental form of minimal submanifolds of .
The cone over the Clifford torus in R4 ist ...-minimizing.
The equivariant Dehn's lemma and loop theorem.
The Existence of Embedded Minimal Surfaces and the Problem of Uniqueness.
The explicit construction of all harmonic two-spheres in G2 (Rn).
The faces of the Grassmanian of three-planes in R7 (Calibrated geometries on R7).
The family of isometric superconformal harmonic maps and the affine Toda equations.
The first eigenvalue of spacelike submanifolds in indefinite space form
In this paper, we prove that the first eigenvalue of a complete spacelike submanifold in with the bounded Gauss map must be zero.
The First Eigenvalue of the Laplacian of an Isoparametric Minimal Hypersurface in a Unit Sphere.
The Fundamental Equations of Minimal Surfaces in C2.
The geometry of closed hypersurfaces
The Geometry of Periodic Minimal Surfaces.
The global structure of constant mean curvature surfaces.
The global theory of doubly periodic minimal surfaces.
The Index of Minimal Immersions of S2 into S2n.
The influence of the boundary behaviour on hypersurfaces with constant mean curvature in Hn+1.