TY - GEN A1 - Griepentrog, Jens A1 - Höppner, Wolfgang A1 - Kaiser, Hans-Christoph A1 - Rehberg, Joachim T1 - A bi-Lipschitz continuous, volume preserving map from the unit ball onto a cube N2 - 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. KW - Lipschitz-homeomorphism KW - invariant sets KW - measure preserving maps Y1 - 2008 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/461 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-4611 ER -