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A COUNTEREXAMPLE TO METRIC DIFFERENTIABILITY

A COUNTEREXAMPLE TO METRIC DIFFERENTIABILITY

Abstract We show that the metric version of Pansuā€™s differentiability result for Lipschitz maps fails; this illustrates an interesting difference between Euclidean domains and domains that are non-abelian stratified groups. AMS 2000 Mathematics subject classification: Primary 26B05. Secondary 22E25