A bi-Lipschitz continuous, volume preserving map from the unit ball onto a cube
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.
DOI Code:
10.1285/i15900932v28n1p177
Keywords:
Lipschitz homeomorphism; invariant sets; measure preserving maps
Classification:
53A55; 26B10; 57R50
Full Text: PDF