A counterexample to metric differentiability

We show that, the metric version of Pansu's differentiability result for Lipschitz maps fails; this illustrates an interesting difference between Euclidean domains and domains that are non-abelian stratified groups.

Bibliografske podrobnosti
Main Authors: Kirchheim, B, Magnani, V
Format: Journal article
Jezik:English
Izdano: 2003
Opis
Izvleček:We show that, the metric version of Pansu's differentiability result for Lipschitz maps fails; this illustrates an interesting difference between Euclidean domains and domains that are non-abelian stratified groups.