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On the volume of sets having constant width

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Abstract

A lower bound is given for the volume of sets of constant width.

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References

  1. G. D. Chakerian,Sets of constant width, Pacific J. Math.19 (1966), 11–21.

    MathSciNet  Google Scholar 

  2. G. D. Chakerian and H. Groemer,Convex bodies of constant width, inConvexity and its Applications (P. M. Gruber and J. M. Wills, eds.), Birkhäuser, Basel, 1983, pp. 49–96.

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  3. H. G. Eggleston,Convexity, Cambridge Univ. Press, 1958.

  4. W. J. Firey,Lower bounds for volumes of convex bodies, Arch. Math.16 (1965), 69–74.

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  5. O. Schramm,Illuminating sets of constant width, Mathematika, to appear.

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Authors and Affiliations

  1. Mathematics Department, Fine Hall, Princeton University, 08544, Princeton, NJ, USA

    Oded Schramm

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  1. Oded Schramm
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Additional information

The research exposed in this note was done while I was at the Hebrew University of Jerusalem, as a student of Professor Gil Kalai. I would like to thank Prof. Kalai for his interest, encouragement and advice.

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Schramm, O. On the volume of sets having constant width. Israel J. Math. 63, 178–182 (1988). https://doi.org/10.1007/BF02765037

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  • DOI: https://doi.org/10.1007/BF02765037

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