UID:
edocfu_9958353947102883
Format:
1 online resource(xvii,861p.) :
,
illustrations.
Edition:
2nd ext. ed.
Edition:
Electronic reproduction. Berlin/Boston : De Gruyter. Mode of access: World Wide Web.
Edition:
System requirements: Web browser.
Edition:
Access may be restricted to users at subscribing institutions.
ISBN:
9783110253863
Series Statement:
De Gruyter Expositions in Mathematics ; 9
Content:
As in the field of "Invariant Distances and Metrics in Complex Analysis" there was and is a continuous progress this is the second extended edition of the corresponding monograph. This comprehensive book is about the study of invariant pseudodistances (non-negative functions on pairs of points) and pseudometrics (non-negative functions on the tangent bundle) in several complex variables. It is an overview over a highly active research area at the borderline between complex analysis, functional analysis and differential geometry. New chapters are covering the Wu, Bergman and several other metrics.
Note:
Frontmatter --
,
Preface to the second edition --
,
Preface to the first edition --
,
Contents --
,
Chapter 1. Hyperbolic geometry of the unit disc --
,
Chapter 2. The Carathéodory pseudodistance and the Carathéodory–Reiffen pseudometric --
,
Chapter 3. The Kobayashi pseudodistance and the Kobayashi–Royden pseudometric --
,
Chapter 4. Contractible systems --
,
Chapter 5. Properties of standard contractible systems --
,
Chapter 6. Elementary Reinhardt domains --
,
Chapter 7. Symmetrized polydisc --
,
Chapter 8. Non-standard contractible systems --
,
Chapter 9. Contractible functions and metrics for the annulus --
,
Chapter 10. Elementary n-circled domains III --
,
Chapter 11. Complex geodesics. Lempert’s theorem --
,
Chapter 12. The Bergman metric --
,
Chapter 13. Hyperbolicity --
,
Chapter 14. Completeness --
,
Chapter 15. Bergman completeness --
,
Chapter 16. Complex geodesics – effective examples --
,
Chapter 17. Analytic discs method --
,
Chapter 18. Product property --
,
Chapter 19. Comparison on pseudoconvex domains --
,
Chapter 20. Boundary behavior of invariant functions and metrics on general domains --
,
Appendix A. Miscellanea --
,
Appendix B. Addendum --
,
Appendix C. List of problems --
,
Bibliography --
,
List of symbols --
,
Index.
,
Also available in print edition.
,
In English.
Additional Edition:
ISBN 9783110250435
Additional Edition:
ISBN 9783112188309
Language:
English
DOI:
10.1515/9783110253863
URL:
https://doi.org/10.1515/9783110253863
