Recognizing constant curvature discrete groups in dimension 3

Semi-discrete Constant Mean Curvature Surfaces

We study semi-discrete surfaces in three dimensional euclidean space which are defined on a parameter domain consisting of one smooth and one discrete parameter. More precisely, we consider only those surfaces which are glued together from individual developable surface strips. In particular we investigate minimal surfaces and constant mean curvature (cmc) surfaces with non vanishing mean curva...

Hypersurfaces with Constant Mean Curvature in a Lorentzian Space Form

Isotropic Constant Dimension Subspace Codes

 In network code setting, a constant dimension code is a set of k-dimensional subspaces of F nq . If F_q n is a nondegenerated symlectic vector space with bilinear form f, an isotropic subspace U of F n q is a subspace that for all x, y ∈ U, f(x, y) = 0. We introduce isotropic subspace codes simply as a set of isotropic subspaces and show how the isotropic property use in decoding process, then...

Discrete surfaces of constant mean curvature via dressing

We start in Section 2 with the definition of the discrete (standard) cylinder as an example of a discrete CMC-surface in the sense of Bobenko and Pinkall [3, 4] (Definition 2.4). This will also lead to the introduction of so called extended frames for discrete CMC-surfaces. These definitions will describe the discrete analogues of CMC-surfaces without umbilics in an isothermic parametrization. ...

Discrete Constant Mean Curvature Surfaces and Their Index

We define triangulated piecewise linear constant mean curvature surfaces using a variational characterization. These surfaces are critical for area amongst continuous piecewise linear variations which preserve the boundary conditions, the simplicial structures, and (in the nonminimal case) the volume to one side of the surfaces. We then find explicit formulas for complete examples, such as disc...