-Isometries in Euclidean spaces
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Igor A. Vestfrid
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Article
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2005
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Elsevier Science
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English
โ 128 KB
Let 0 < r R and A be a subset of the n-dimensional Euclidean space E n , which is contained in B(x 0 , R) and contains points x 0 , x 0 + re 1 , . . . , x 0 + re n , where the vectors {e i } n i=1 are orthonormal. We show that if f : A โ E n is an -isometry, then there is an affine isometry U such t