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Hyperbolic Geometry by Charles Walkden
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Hyperbolic Geometry by Charles Walkden
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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 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.
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