Isometries of the hyperbolic plane and the Möbius group of the sphere
Date:
Talk at the seminar “Geometrie auf der Sphäre und im hyperbolischen Raum” organized by Prof. Margarita Kraus at the Johannes Gutenberg University of Mainz (Germany). The main point was to show that the isometry group of the hyperbolic space is isomorphic to a subgroup of the Möbius group of the sphere. The notes of the talk are available here.