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A COUNTEREXAMPLE TO METRIC DIFFERENTIABILITY

Published online by Cambridge University Press:  27 January 2003

Bernd Kirchheim  and
Valentino Magnani
Bernd Kirchheim
Affiliation:
Max-Plank-Institut für Mathematik in den Naturwissenschaften, Inselstrasse 22-26, 04103 Leipzig, Germany ([email protected])
Valentino Magnani
Affiliation:
Scuola Normale Superiore, Piazza dei Cavalieri 7, 56126 Pisa, Italy ([email protected])
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Abstract

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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.

AMS 2000 Mathematics subject classification: Primary 26B05. Secondary 22E25

Keywords

metric differentiabilitynilpotent groups
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 46 , Issue 1 , February 2003 , pp. 221 - 227
Copyright
Copyright © Edinburgh Mathematical Society 2003