Hyperbolic Geometry by Charles Walkden
Purpose of this note is
to provide an introduction to some aspects of hyperbolic geometry. Topics
covered includes: Length and distance in hyperbolic geometry, Circles and lines,
Mobius transformations, The Poincar´e disc model, The Gauss-Bonnet Theorem,
Hyperbolic triangles, Fuchsian groups, Dirichlet polygons, Elliptic cycles, The
signature of a Fuchsian group, Limit sets of Fuchsian groups, Classifying
elementary Fuchsian groups, Non-elementary Fuchsian groups.
Author(s): Charles Walkden
247 Pages