Surfaces of generalized constant width
β Scribed by V. A. Toponogov
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1993
- Tongue
- English
- Weight
- 573 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0037-4466
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract We give a number of characterizations of bodies of constant width in arbitrary dimension. As an application, we describe a way to construct a body of constant width in dimension __n__, one of its (__n__ β 1)βdimensional projection being given. We give a number of examples, like a fourβd
At the 1974 meeting about convexity in Oberwolfach, T. Zamfirescu raised the following problem: Let F be a class of sets in R n. We say that a set M c R ~ is F-convex if, for any two distinct points x, y ~ M, there exists F e F such that x, y ~ F and F c M. Study the F-convexity for interesting cla
## 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
A convex plate D c R 2 of diameter 1 is of constant width 1 if and only if any two perpendicular intersecting chords have total length => 1. . Let D c R", n > 2, be a convex body of diameter 1. We say that D has the property (P) if any n mutually perpendicular chords, having a common point, have to