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Isometries of the space of convex bodies of Ed

Part of: General convexity

Published online by Cambridge University Press:  26 February 2010

Peter M. Gruber
Peter M. Gruber
Affiliation:
Institut für Analysis, Technische Universität Wien, A-1040 Wien, GuBhausstr. 27–29.
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Abstract

The isometries of the space of convex bodies of Ed with respect to the symmetric-difference metric are precisely the mappings generated by measurepreserving affinities of Ed.

MSC classification

Secondary: 52A20: Convex sets in $n$ dimensions (including convex hypersurfaces)
Type
Research Article
Information
Mathematika , Volume 25 , Issue 2 , December 1978 , pp. 270 - 278
Copyright
Copyright © University College London 1978

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References

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