Separated nets in Euclidean space and Jacobians of biLipschitz maps

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We show that there are separated nets in the Euclidean plane which are not biLipschitz equivalent to the integer lattice. The argument is based on the construction of a continuous function which is not the Jacobian of a biLipschitz map.
LaTeX2e file, 6 pages

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Differential Geometry, Metric Geometry, Primary 20F32, Secondary 53C99, 26B35

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http://salesiana.dossiersoluciones.com/handle/123456789/152230

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/dg-ga/9703022
 http://arxiv.org/abs/dg-ga/9703022

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arXiv