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

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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.

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Authors and Affiliations

  1. Institut für Analysis, Technische Mathematik und Versicherungsmathematik, Technische Universität, Gusshausstraße 27, A-1040, Wien, Austria

    Peter M. Gruber

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  1. Peter M. Gruber
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Gruber, P.M. Isometries of the space of convex bodies contained in a Euclidean ball. Israel J. Math. 42, 277–283 (1982). https://doi.org/10.1007/BF02761407

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  • DOI: https://doi.org/10.1007/BF02761407

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