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What do cylinders look like?

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Abstract

The farthest point mapping is bijective and involutive on any right circular cylinder of radius r and height h ≤ r(π − 2). For any right cylinder C over a typical convex body K, most points in bd(K) are endpoints of C.

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Authors and Affiliations

  1. Faculty of Education, Kumamoto University, Kumamoto, 860-8555, Japan

    Jin-ichi Itoh

  2. Institute of Mathematics Simion Stoilow of the Romanian Academy, P. O. Box 1-764, 014700, Bucharest, Romania

    Costin Vîlcu

Authors
  1. Jin-ichi Itoh
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  2. Costin Vîlcu
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Corresponding author

Correspondence to Costin Vîlcu.

Additional information

This paper was written during the stay of the second author at Kumamoto University, supported by JSPS. The first author was partially supported by the Grant-in-Aid for Scientific Research, JSPS.

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Itoh, Ji., Vîlcu, C. What do cylinders look like?. J. Geom. 95, 41–48 (2009). https://doi.org/10.1007/s00022-009-0012-8

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  • DOI: https://doi.org/10.1007/s00022-009-0012-8

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