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CONTACT AND PANSU DIFFERENTIABLE MAPS ON CARNOT GROUPS

Part of: Global differential geometry Lie groups

Published online by Cambridge University Press:  01 June 2008

BEN WARHURST
BEN WARHURST*
Affiliation:
School of Mathematics, University of New South Wales, Sydney, NSW 2052, Australia (email: warhurst@maths.unsw.edu.au)
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Abstract

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The equivalence between contact and Pansu differentiable maps on Carnot groups is established within the class of maps that are C1 with respect to the ambient Euclidean structure.

Keywords

Carnot groupcontact mappingPansu derivative

MSC classification

Secondary: 22E25: Nilpotent and solvable Lie groups 22E30: Analysis on real and complex Lie groups 53C17: Sub-Riemannian geometry
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 77 , Issue 3 , June 2008 , pp. 495 - 507
Copyright
Copyright © 2008 Australian Mathematical Society

References

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