Abstract
A lower bound is given for the volume of sets of constant width.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
G. D. Chakerian,Sets of constant width, Pacific J. Math.19 (1966), 11–21.
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.
H. G. Eggleston,Convexity, Cambridge Univ. Press, 1958.
W. J. Firey,Lower bounds for volumes of convex bodies, Arch. Math.16 (1965), 69–74.
O. Schramm,Illuminating sets of constant width, Mathematika, to appear.
Author information
Authors and Affiliations
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.
Rights and permissions
About this article
Cite this article
Schramm, O. On the volume of sets having constant width. Israel J. Math. 63, 178–182 (1988). https://doi.org/10.1007/BF02765037
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02765037