Deforming the singly periodic genus-one helicoid.
Degree Theory on Orientated Infinite Dimensional Varieties and the Morse Number of Minimal Surfaces Spanning a Curve.
Determination of surfaces in three-dimensional Minkowski and Euclidean spaces based on solutions of the sinh-Laplace equation.
Diameter bounds for convex surfaces with pinched mean curvature.
Die Jacobifelder zu Minimalflächen im ...
Die Minimalhyperregelflächen.
Die totale mittlere Krümmung gewisser Hyperflächen im R5.
Die zweite Variation von Minimalflächen im ...p mit polygonalem Rand.
Dirac and Plateau billiards in domains with corners
Groping our way toward a theory of singular spaces with positive scalar curvatures we look at the Dirac operator and a generalized Plateau problem in Riemannian manifolds with corners. Using these, we prove that the set of C 2-smooth Riemannian metrics g on a smooth manifold X, such that scalg(x) ≥ κ(x), is closed under C 0-limits of Riemannian metrics for all continuous functions κ on X. Apart from that our progress is limited but we formulate many conjectures. All along, we emphasize geometry,...
Discrete isothermic surfaces.
Discrete minimal surface algebras.
Double bubbles in the three-torus.
Double bubbles minimize.
Doubling constant mean curvature tori in S
The Clifford tori in constitute a one-parameter family of flat, two-dimensional, constant mean curvature (CMC) submanifolds. This paper demonstrates that new, topologically non-trivial CMC surfaces resembling a pair of neighbouring Clifford tori connected at a sub-lattice consisting of at least two points by small catenoidal bridges can be constructed by perturbative PDE methods. That is, one can create a submanifold that has almost everywhere constant mean curvature by gluing a re-scaled catenoid...