Israel Journal of Mathematics

, Volume 42, Issue 4, pp 277–283 | Cite as

Isometries of the space of convex bodies contained in a Euclidean ball

  • Peter M. Gruber
Article

Abstract

The isometries of the space of convex bodies contained in a Euclidean ball with respect to the symmetric difference metric are precisely the mappings generated by rotations of the ball.

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Copyright information

© The Weizmann Science Press of Israel 1982

Authors and Affiliations

  • Peter M. Gruber
    • 1
  1. 1.Institut für Analysis, Technische Mathematik und VersicherungsmathematikTechnische UniversitätWienAustria

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