VIII Complex geodesics. Lempert’s theorem

Chapters in this book

1. Frontmatter I
2. I Hyperbolic geometry of the unit disc 1
3. II The Carathéodory pseudodistance and the Carathéodory-Reiffen pseudometric 15
4. III The Kobayashi pseudodistance and the Kobayashi-Royden pseudometric 71
5. IV Contractible systems 111
6. V Contractible functions and metrics for the annulus 154
7. VI The Bergman metric 169
8. VII Hyperbolicity and completeness 202
9. VIII Complex geodesics. Lempert’s theorem 237
10. IX Product-property 296
11. X Comparison on strongly pseudoconvex domains 310
12. Miscellanea 355
13. Appendix 367
14. References 387
15. List of symbols 400
16. Index 405