Article

Israel Journal of Mathematics

, Volume 42, Issue 4, pp 277-283

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

  • Peter M. GruberAffiliated withInstitut für Analysis, Technische Mathematik und Versicherungsmathematik, Technische Universität

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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.