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

Please always quote using this URN:urn:nbn:de:0296-matheon-4611
  • 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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Metadaten
Author:Jens Griepentrog, Wolfgang Höppner, Hans-Christoph Kaiser, Joachim Rehberg
URN:urn:nbn:de:0296-matheon-4611
Referee:Alexander Mielke
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2008/02/19
Release Date:2008/01/02
Tag:
Institute:Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS)
MSC-Classification:26-XX REAL FUNCTIONS [See also 54C30] / 26Bxx Functions of several variables / 26B10 Implicit function theorems, Jacobians, transformations with several variables
53-XX DIFFERENTIAL GEOMETRY (For differential topology, see 57Rxx. For foundational questions of differentiable manifolds, see 58Axx) / 53Axx Classical differential geometry / 53A55 Differential invariants (local theory), geometric objects
57-XX MANIFOLDS AND CELL COMPLEXES (For complex manifolds, see 32Qxx) / 57Rxx Differential topology (For foundational questions of differentiable manifolds, see 58Axx; for infinite-dimensional manifolds, see 58Bxx) / 57R50 Diffeomorphisms
Preprint Number:447
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