A bi-Lipschitz continuous, volume preserving map from the unit ball onto a cube

Authors

  • Jens André Griepentrog
  • Wolfgang Höppner
  • Hans-Christoph Kaiser
  • Joachim Rehberg

DOI:

https://doi.org/10.1285/i15900932v28n1p177

Keywords:

Lipschitz homeomorphism, invariant sets, measure preserving maps

Abstract

We construct two bi-Lipschitz continuous, volume preserving maps from Euclidean space onto itself which map the unit ball onto a cylinder and onto a cube, respectively. Moreover, we characterize invariant sets of these mappings.

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Published

01-01-2008

Issue

Volume 28, Issue 1 (2008)

Section

Articoli

License

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Gli autori che pubblicano in questa rivista accettano i termini e le condizioni specificate nella licenza Creative Commons di cui al link sottostante.

http://creativecommons.org/licenses/by-nc-nd/3.0/it/legalcode