Averkov, Gennadiy : On cross-section measures in Minkowski spaces

Author(s):

Averkov, Gennadiy

Title:

On cross-section measures in Minkowski spaces

Electronic source:

application/pdf

Preprint series:

Technische Universität Chemnitz, Fakultät für Mathematik (Germany). Preprint 7, 2002

Mathematics Subject Classification:

52A05			[ Convex sets without dimension restrictions ]
52A10			[ Convex sets in $2$ dimensions ]

Abstract:

We derive various geometrical and analytical representations for diameter and thickness in Minkowski spaces (i.e., in a real finite-dimensional Banach spaces).

Keywords:

Minkowski space, Convex set, width function, cross-section measure, constant width, reduced body, diameter

Language:

English

Publication time:

10 / 2002