Invariant Distances and Metrics in Complex Analysis
eBook - PDF

Invariant Distances and Metrics in Complex Analysis

  1. 878 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Invariant Distances and Metrics in Complex Analysis

About this book

As in the field of "Invariant Distances and Metrics in Complex Analysis" there was and is a continuous progress this is now 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.

The book considers only domains in C n and assumes a basic knowledge of several complex variables. It is a valuable reference work for the expert but is also accessible to readers who are knowledgeable about several complex variables. Each chapter starts with a brief summary of its contents and continues with a short introduction. It ends with an "Exercises" and a "List of problems" section that gathers all the problems from the chapter. The authors have been highly successful in giving a rigorous but readable account of the main lines of development in this area.

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Yes, you can access Invariant Distances and Metrics in Complex Analysis by Marek Jarnicki,Peter Pflug in PDF and/or ePUB format, as well as other popular books in Mathematics & Differential Geometry. We have over one million books available in our catalogue for you to explore.

Information

Publisher
De Gruyter
Year
2013
Print ISBN
9783110250435
eBook ISBN
9783110253863
Edition
2
Topic
Mathematics
Subtopic
Differential Geometry
Index
Mathematics

Table of contents

  1. Preface to the second edition
  2. Preface to the first edition
  3. 1 Hyperbolic geometry of the unit disc
  4. 2 The Carathéodory pseudodistance and the Carathéodory-Reiffen pseudometric
  5. 3 The Kobayashi pseudodistance and the Kobayashi-Royden pseudometric
  6. 4 Contractible systems
  7. 5 Properties of standard contractible systems
  8. 6 Elementary Reinhardt domains
  9. 7 Symmetrized polydisc
  10. 8 Non-standard contractible systems
  11. 9 Contractible functions and metrics for the annulus
  12. 10 Elementary n-circled domains III
  13. 11 Complex geodesics. Lempert’s theorem
  14. 12 The Bergman metric
  15. 13 Hyperbolicity
  16. 14 Completeness
  17. 15 Bergman completeness
  18. 16 Complex geodesics – effective examples
  19. 17 Analytic discs method
  20. 18 Product property
  21. 19 Comparison on pseudoconvex domains
  22. 20 Boundary behavior of invariant functions and metrics on general domains
  23. A Miscellanea
  24. B Addendum
  25. C List of problems
  26. Bibliography
  27. List of symbols
  28. Index