Seminario Dottorato: The Liouville Theorem for conformal maps: old and new

Wednesday 20 April 2011 - Alessandro Ottazzi

ARGOMENTI: Seminari Dottorato

Wednesday 20 April 2011 h. 14:30, room 2BC30
Alessandro Ottazzi (Milano-Bicocca)
"The Liouville Theorem for conformal maps: old and new"

In this seminar we discuss a classical result of Liouville for conformal maps in euclidean spaces of dimension at least three. Most of the time will be devoted to present a proof which is not present in this form in the classical literature. This proof works in more generality and in fact we (A. Ottazzi and B. Warhurst) can prove a Liouville theorem for all nilpotent and stratified Lie groups endowed with a sub-Riemannian distance. In the last part of the seminar we shall describe the setting of such groups, and possibly discuss some open problems.

Rif. int. C. Marastoni, T. Vargiolu

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