Monatshefte für Mathematik

, Volume 118, Issue 1–2, pp 41–54 | Cite as

Mean projections and finite packings of convex bodies

  • Károly BöröczkyJr
Article

Abstract

Consider the convex hullQ ofn non-overlapping translates of a convex bodyC inE d ,n be large. IfQ has minimali-dimensional projection, 1≤i<d then we prove thatQ is approximately a sphere.

1991 Mathematics Subject Classification

52C17 52A39 

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Copyright information

© Springer-Verlag 1994

Authors and Affiliations

  • Károly BöröczkyJr
    • 1
  1. 1.Mathematical Institute of the Hungarian Academy of SciencesBudapestHungary

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