| |
|
|
| |
Volume 7, Issue 1, Article 19 |
|
|
|
|
|
| |
On Busemann Surface Area of the Unit Ball in Minkowski Spaces
|
| |
|
Authors: |
Zokhrab Mustafaev, |
|
| |
|
Keywords:
|
Busemann surface area, Cross-section measure, Isoperimetrix, Intersection body, Mixed volumes, Projection body. |
|
| |
|
Date Received:
|
18/05/05 |
|
| |
|
Date Accepted:
|
22/11/05 |
|
| |
|
Subject Codes: |
52A40, 46B20.
|
|
| |
|
Editors: |
Sever S. Dragomir, |
|
| |
|
|
|
|
|
| |
|
Abstract: |
For a given  -dimensional Minkowski space (finite dimensional Banach space) with unit ball  , one can define the concept of surface area in different ways when  . There exist two well-known definitions of surface area: the Busemann definition and Holmes-Thompson definition of surface area. The purpose of this paper is to establish lower bounds for the surface area of the unit ball in a -dimensional Minkowski space in case of Busemann's definition, when .
|
|
|
|
|
|
| |
|
|
|
|
| |
|
|
|
|
|
Home
