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1、ProgressinMathematicsVolume291SeriesEditorsHymanBassJosephOesterléAlanWeinsteinRobertE.Greene•Kang-TaeKimStevenG.KrantzTheGeometryofComplexDomainsRobertE.GreeneStevenG.KrantzDepartmentofMathematicsDepartmentofMathematicsUniversityofCaliforniaWashingtonUniversityLo
2、sAngeles,CA90095St.Louis,MO63130USAUSAgreene@math.ucla.edusk@math.wustl.eduKang-TaeKimDepartmentofMathematicsPohangInstituteofScienceandTechnologyPohang,790-794SouthKoreakimkt@postech.ac.krISBN978-0-8176-4139-9e-ISBN978-0-8176-4622-6DOI10.1007/978-0-8176-4622-6Lib
3、raryofCongressControlNumber:2011927939MathematicsSubjectClassification(2010):Primary:32T27;Secondary:32H02,32H35,32F45,32M05,32T05,32T15,32T25©BirkhäuserBoston,apartofSpringerScience+BusinessMedia,LLC2011Allrightsreserved.Thisworkmaynotbetranslatedorcopiedinwholeo
4、rinpartwithoutthewrit-tenpermissionofthepublisher(BirkhäuserBoston,c/oSpringerScience+BusinessMedia,LLC,233SpringStreet,NewYork,NY10013,USA),exceptforbriefexcerptsinconnectionwithreviewsorscholarlyanalysis.Useinconnectionwithanyformofinformationstorageandretrieval
5、,electronicadaptation,computersoftware,orbysimilarordissimilarmethodologynowknownorhereafterdevelopedisforbidden.Theuseinthispublicationoftradenames,trademarks,servicemarks,andsimilarterms,eveniftheyarenotidentifiedassuch,isnottobetakenasanexpressionofopinionastow
6、hetherornottheyaresubjecttoproprietaryrights.Printedonacid-freepaperspringer.comToourwives,Paige,Sung-Ock,andRandiTableofContentsPreface........................................................xi1Preliminaries..............................................11.1Automo
7、rphismGroups...................................11.2SomeFundamentalsfromComplexAnalysisofSeveralVariables...............................................31.3NormalFamiliesandAutomorphisms......................61.4TheBasicExamples.....................................
8、161.5OrbitAccumulationBoundaryPoints......................211.6HolomorphicVectorFieldsandTheirFlows.................232RiemannSurfacesandCoveringSpaces.
