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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.

Keywords

Convex Body Rigid Motion Normed Linear Space Symmetric Difference Mutual Distance 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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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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