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Differential Geometry: Curves - Surfaces - Manifolds
* 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 constantExpand
Tight Polyhedral Submanifolds and Tight Triangulations
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
Ruled Weingarten surfaces in Minkowski 3-space
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 nullExpand
Immunohistochemical visualization of the enteric nervous system using antibodies against protein gene product (PGP) 9.5.
TLDR
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
Combinatorial manifolds with few vertices
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 projectiveExpand
Conformal Transformations between Einstein Spaces
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 (possiblyExpand
A CENSUS OF TIGHT TRIANGULATIONS
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 theExpand
Smooth approximation of polyhedral surfaces regarding curvatures
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 topologicalExpand
Anatomical composition of the anterior shoulder joint capsule. A cadaver study on 12 glenohumeral joints.
TLDR
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
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