Hyperbolic Geometry by Charles Walkden by Charles Walkden
File Type :PDF Number of Pages :247
Description 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 PoincarŽe disc model, The GaussBonnet Theorem,
Hyperbolic triangles, Fuchsian groups, Dirichlet polygons, Elliptic cycles, The
signature of a Fuchsian group, Limit sets of Fuchsian groups, Classifying
elementary Fuchsian groups, Nonelementary Fuchsian groups.
