Coverart for item
The Resource The geometry of complex domains, Robert E. Greene, Kang-Tae Kim, Steven G. Krantz

The geometry of complex domains, Robert E. Greene, Kang-Tae Kim, Steven G. Krantz

Label
The geometry of complex domains
Title
The geometry of complex domains
Statement of responsibility
Robert E. Greene, Kang-Tae Kim, Steven G. Krantz
Creator
Contributor
Subject
Language
eng
Summary
The geometry of complex domains is a subject with roots extending back more than a century, to the uniformization theorem of Poincaré and Koebe and the resulting proof of existence of canonical metrics for hyperbolic Riemann surfaces. In modern times, developments in several complex variables by Bergman, Hörmander, Andreotti-Vesentini, Kohn, Fefferman, and others have opened up new possibilities for the unification of complex function theory and complex geometry. In particular, geometry can be used to study biholomorphic mappings in remarkable ways. This book presents a complete picture of these developments. Beginning with the one-variable case--background information which cannot be found elsewhere in one place--the book presents a complete picture of the symmetries of domains from the point of view of holomorphic mappings. It describes all the relevant techniques, from differential geometry to Lie groups to partial differential equations to harmonic analysis. Specific concepts addressed include: covering spaces and uniformization; Bergman geometry; automorphism groups; invariant metrics; the scaling method. All modern results are accompanied by detailed proofs, and many illustrative examples and figures appear throughout. Written by three leading experts in the field, The Geometry of Complex Domains is the first book to provide systematic treatment of recent developments in the subject of the geometry of complex domains and automorphism groups of domains. A unique and definitive work in this subject area, it will be a valuable resource for graduate students and a useful reference for researchers in the field
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorDate
1943-
http://library.link/vocab/creatorName
Greene, Robert Everist
Dewey number
516.3/5
Index
index present
LC call number
QA360
LC item number
.G74 2011
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
  • 1957-
  • 1951-
http://library.link/vocab/relatedWorkOrContributorName
  • Kim, Kang-Tae
  • Krantz, Steven G.
Series statement
Progress in mathematics
http://library.link/vocab/subjectName
  • Geometric function theory
  • Geometry, Algebraic
  • MATHEMATICS
  • Geometric function theory
  • Geometry, Algebraic
Label
The geometry of complex domains, Robert E. Greene, Kang-Tae Kim, Steven G. Krantz
Instantiates
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Riemann Surfaces and Covering Spaces -- The Bergman Kernel and Metric -- Applications of Bergman Geometry -- Lie Groups Realized as Automorphism Groups -- The Significance of Large Isotropy Groups -- Some Other Invariant Metrics -- Automorphism Groups and Classification of Reinhardt Domains -- The Scaling Method, I -- The Scaling Method, II
Control code
733543293
Dimensions
unknown
Extent
1 online resource (xiv, 303 pages).
Form of item
online
Isbn
9780817641399
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-0-8176-4622-6
http://library.link/vocab/ext/overdrive/overdriveId
978-0-8176-4139-9
Specific material designation
remote
System control number
(OCoLC)733543293
Label
The geometry of complex domains, Robert E. Greene, Kang-Tae Kim, Steven G. Krantz
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Riemann Surfaces and Covering Spaces -- The Bergman Kernel and Metric -- Applications of Bergman Geometry -- Lie Groups Realized as Automorphism Groups -- The Significance of Large Isotropy Groups -- Some Other Invariant Metrics -- Automorphism Groups and Classification of Reinhardt Domains -- The Scaling Method, I -- The Scaling Method, II
Control code
733543293
Dimensions
unknown
Extent
1 online resource (xiv, 303 pages).
Form of item
online
Isbn
9780817641399
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-0-8176-4622-6
http://library.link/vocab/ext/overdrive/overdriveId
978-0-8176-4139-9
Specific material designation
remote
System control number
(OCoLC)733543293

Library Locations

    • Ellis LibraryBorrow it
      1020 Lowry Street, Columbia, MO, 65201, US
      38.944491 -92.326012
Processing Feedback ...