Author: S.-M. Jung 1
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  • 1 Mathematics Section, College of Science and Technology, Hong-Ik University 339-701 Chochiwon, Korea 339-701 Chochiwon, Korea
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Summary  

We introduce a new characterization of linear isometries. More precisely, we prove that if a one-to-one mapping f:ℝn→ℝn(2≦n<∞) maps every regular pentagon of side length a> 0 onto a pentagon with side length b> 0, then there exists a linear isometry I :ℝn→ℝnup to translation such that f(x) = (b/a) I(x).

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