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Contact and quasiconformal mappings on real model filiform groups

Published online by Cambridge University Press:  17 April 2009

Ben Warhurst
Ben Warhurst
Affiliation:
School of Mathematics, University of New South Wales, Sydney NSW 2052, Australia, e-mail: warhurst@maths.unsw.edu.au
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Abstract

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We prove that Carnot groups with real model filiform Lie algebras are not rigid. Consequently non-trivial smooth contact and quasiconformal mappings exist in abundance.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 68 , Issue 2 , October 2003 , pp. 329 - 343
Copyright
Copyright © Australian Mathematical Society 2003

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