Mappings preserving regular hexahedrons

Soon-Mo Jung and Byungbae Kim

International Journal of Mathematics and Mathematical Sciences, 2005, vol. 2005, 1-5

Abstract:

We will prove that if a one-to-one mapping f : ℝ 3 → ℝ 3 preserves regular hexahedrons, then f is a linear isometry up to translation.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:175878

DOI: 10.1155/IJMMS.2005.3511

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