Galatasaray Üniversitesi Matematik Bölümü Seminerleri
On characteristics of isometries in hyperbolic geometry
Cheikh Lo
Universite Cheikh Anta Diop, Senegal
In the first time of the talk we present characterizations of isometries of hyperbolic plane by using some geometric objects. More precisely we show that the curves of constant geodesic curvature-preserving maps are isometries. In the second time we highlight the difference between geodesics and horocycles by showing that an abstract automorphism of the geodesic graph is induced by an earthquake map while that of a horocycle graph is induced by an isometry.
