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Author
Höppner, Wolfgang (1)
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2008
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Lipschitz-homeomorphism
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invariant sets
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measure preserving maps
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A bi-Lipschitz continuous, volume preserving map from the unit ball onto a cube
(2008)
Griepentrog, Jens
;
Höppner, Wolfgang
;
Kaiser, Hans-Christoph
;
Rehberg, Joachim
We construct two bi-Lipschitz, 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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