Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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VOLUME PRODUCT FOR PEDAL BODIES

  • Chai, Y.D. (DEPARTMENT OF MATHEMATICS, SUNGKYUNKWAN UNIVERSITY) ;
  • Kim, Yong-Il (DEPARTMENT OF MATHEMATICS, SUNGKYUNKWAN UNIVERSITY) ;
  • Lee, Doo-Hann (DEPARTMENT OF MATHEMATICS, SUNGKYUNKWAN UNIVERSITY)
  • Published : 2001.01.01
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Abstract

Let K be a convex body of constant relative breadth and let $K^*$ be its polar dual with respect to the Euclidean unit circle. In this paper we obtain the lower bound for the volume of the pedal body $PK^*P $K^{*}$ of K^*.$ Using this, we also obtain the lower bound for the volume product V$(PK^*)$V(PK) for planar bodies.s.

Keywords

References

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