Almost Isometries of Balls |
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| Authors: | Eva Matou
kov |
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| Institution: | Mathematical Institute, Czech Academy of Sciences, 
itná 25, CZ-11567, Prague, Czech Republicf1;Department of Mathematics, University of South Carolina, Columbia, South Carolina, 29208, , f2 |
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| Abstract: | Let f be a bi-Lipschitz mapping of the Euclidean ball B
n into ℓ2 with both Lipschitz constants close to one. We investigate the shape of f(B
n). We give examples of such a mapping f, which has the Lipschitz constants arbitrarily close to one and at the same time has in the supremum norm the distance at least one from every isometry of
n. |
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| Keywords: | isometry quasi-isometry rigid mapping approximate |
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