Completeness and constant width in spherical and hyperbolic spaces
β Scribed by B. V. Dekster
- Publisher
- Akadmiai Kiad
- Year
- 1995
- Tongue
- English
- Weight
- 597 KB
- Volume
- 67
- Category
- Article
- ISSN
- 1588-2632
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract In this paper we study complete orientable surfaces with a constant principal curvature __R__ in the 3βdimensional hyperbolic space **H**^3^. We prove that if __R__^2^ > 1, such a surface is totally umbilical or umbilically free and it can be described in terms of a complete regular cur
In this paper we study spaces of mappings A : K Βͺ K satisfying Ax s x for all x g F, where K is a closed convex subset of a hyperbolic complete metric space and F is a closed convex subset of K. These spaces are equipped with natural Ε½ . complete uniform structures. We study the convergence of power
## IN-AND CIRCUMCENTERS OF MANIFOLDS OF CONSTANT WIDTH Bodies of constant width W in an n-dimensional Riemannian manifold M n, n t> 2, were introduced and studied in [3]. That paper dealt mostly with the curvature of the boundary of such a body K and also established that the diameter D of K satis