* Notations and prerequisites from analysis* Curves in $\mathbb{R}^n$* The local theory of surfaces* The intrinsic geometry of surfaces* Riemannian manifolds* The curvature tensor* Spaces of constant… Expand

and basic notions.- Tight polyhedral surfaces.- Tightness and k-tightness.- (k?1)-connected 2k-manifolds.- 3-manifolds and twisted sphere bundles.- Connected sums and manifolds with boundary.-… Expand

Abstract:We characterize all ruled surfaces in Minkowski 3-space with a relation between the Gauss and mean curvature (Weingarten surfaces). It turns out that, except if the rulings are in a null… Expand

The immunohistochemical technique reveals the fundamental architectural features of the ganglionic and aganglionic plexuses and enables a reproducible and differentiated visualization of the enteric nerve cells to be made, so that the various nerve cell types can be morphologically identified.Expand

WE SHOW that a d-manifold M with less than 3⌈d2⌉+3 vertices is a sphere and that a d-manifold with 3d/2+3 vertices is either a sphere or d=2, 4, 8, or 16 and M is a “manifold like a projective… Expand

This contribution is concerned with the following question which has already been studied by H.W. Brinkmann [Br 2] in 1925: “When can an Einstein space be mapped conformally on some (possibly… Expand

A triangulation of a manifold (or pseudomanifold) is called a tight triangulation if any simplexwise linear embedding into any Euclidean space is tight. Tightness of an embedding means that the… Expand

In this paper we prove that every closed polyhedral surface in Euclidean three-space can be approximated (uniformly with respect to the Hausdorff metric) by smooth surfaces of the same topological… Expand

Twelve right cadaver shoulder joints were investigated after alcohol-formalin-glycerol fixation and an "unknown glenohumeral ligament" coursed in the midline of the superficial layer of the anterior shoulder joint capsule and is proposed to be named "Lig.glenohumerale spirale".Expand