Table of contents
Table of contents vii
IAS/Park City Mathematics Institute xi
Preface xiii
Chapter 1. The euclidean plane 1
§1.1. Euclidean length and distance 1
§1.2. Shortest curves 3
§1.3. Metric spaces 3
§1.4. Isometries 5
Exercises for Chapter 1 7
Chapter 2. The hyperbolic plane 11
§2.1. The hyperbolic plane 11
§2.2. Some isometries of the hyperbolic plane 14
§2.3. Shortest curves in the hyperbolic plane 17
§2.4. All isometries of the hyperbolic plane 23
§2.5. Linear and antilinear fractional maps 27
§2.6. The hyperbolic norm 33
§2.7. The disk model for the hyperbolic plane 36
vii
Previous Page Next Page