Contact and 1-quasiconformal maps on Carnot groups

Details Contact and 1-quasiconformal maps on Carnot groups Contact and 1-quasiconformal maps on Carnot groups

2010-01-21

arxiv.org/abs/1001.3817v3

Mathematics

Differential Geometry

Page 4, line 8 and followings: add references; Page 7, line 13: correct typo; Page 23: correct typo in the title of reference

Scientific paper

We characterize the rigidity of Carnot groups in the class of $C^2$ contact
maps in terms of complex characteristics. Furthermore, we obtain a Liouville
type theorem for Carnot groups which states that 1-quasiconformal maps form
finite dimensional Lie groups.

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