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.

Podrobná bibliografie
Hlavní autoři: Kirchheim, B, Magnani, V
Médium: Journal article
Jazyk:English
Vydáno: 2003
Popis
Shrnutí: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.