Isometries of the space of convex bodies contained in a Euclidean ball
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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.
KeywordsConvex Body Rigid Motion Normed Linear Space Symmetric Difference Mutual Distance
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- 6.K. Leichtweiß, Konvexe Mengen, Springer, Berlin-Heidelberg-New York, 1980.Google Scholar
© The Weizmann Science Press of Israel 1982