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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 $ 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$. ;


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