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Euclidean plane point-transformations preserving unit area or unit perimeter

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Publication:1057491
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DOI10.1007/BF01194898zbMath0563.51015MaRDI QIDQ1057491

June A. Lester

Publication date: 1985

Published in: Archiv der Mathematik (Search for Journal in Brave)


zbMATH Keywords

areaEuclidean planeperimeterEuclidean motion


Mathematics Subject Classification ID

Euclidean geometries (general) and generalizations (51M05)


Related Items (5)

Martin's theorem for Euclidean n-space and a generalization to the perimeter case ⋮ Bijections of \({\mathbb{R}}^ n\) onto itself ⋮ On \(n\)-norm preservers and the Aleksandrov conservative \(n\)-distance problem ⋮ A four-point criterion for the Möbius property of a homeomorphism of plane domains ⋮ A characterization of motions as bijections preserving inradius or circumradius 1



Cites Work

  • Unnamed Item
  • Transformations of Robertson-Walker spacetimes preserving separation zero
  • Axiomatic relativity theory
  • On Isometries of Euclidean Spaces


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