JIPAM logo: Home Link
Home Editors Submissions Reviews Volumes RGMIA About Us

  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,  

For a given $ d$-dimensional Minkowski space (finite dimensional Banach space) with unit ball $ B$, one can define the concept of surface area in different ways when $ dgeq3$. 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 $ d$-dimensional Minkowski space in case of Busemann's definition, when $ dgeq3$.

  Download Screen PDF
  Download Print PDF
  Send this article to a friend
  Print this page

      search [advanced search] copyright 2003 terms and conditions login