### Abstract:

We give the metric and the analytic definition of different kind of maps in ${\mathbb R}^n$. We sketch a proof of the fact that isometries are affine maps and that conformal maps are Moebius transformations, one that can be extended to metric spaces whose distance may be non-Riemannian. The characterization of isometries in this more general setting was proved by the speaker in collaboration with E. Le Donne. Finally we provide some examples.

Speaker

Alessandro Ottazzi

Research Area
Affiliation

School of Mathematics and Statistics

Date

Tue, 24/03/2015 - 2:00pm

Venue

RC-4082, The Red Centre, UNSW