- Vivi Padova
- Il Bo
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