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1、LectureNotesinMathematics1743Editors:A.Dold,HeidelbergF.Takens,GroningenB.Teissier,ParisSpringerBerlinHeidelbergNewYorkBarcelonaHongKongLondonMilanParisSingaporeTokyoLutzHabermannRiemannianMetricsofConstantMassandModuliSpacesofConformalStructuresSpringerAuthorLutzHabermannInstituteofMathematics
2、andComputerScienceErnst-Moritz-Arndt-UniversityJahnstr.15a17487Greifswald,GermanyE-mail:lhaberma@mail.uni-greifswald.deCataloging-in-PublicationDataappliedforDieDeutscheBibliothek-CIP-EinheitsaufnahmeHabermann,Lutz:Riemannianmetricsofconstantmassandmodulispacesofconformalstructures/LutzHaberman
3、n.-Berlin;Heidelberg;NewYork;Barcelona;HongKong;London;Milan;Paris;Singapore;Tokyo:Springer,2000(Lecturenotesinmathematics;1743)ISBN3-540-67987-1MathematicsSubjectClassification(2000):58D27,53A30,53C20ISSN0075-8434ISBN3-540-67987-1Springer-VerlagBerlinHeidelbergNewYorkThisworkissubjecttocopyrig
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5、ionsoftheGermanCopyrightLawofSeptember9,1965,initscurrentversion,andpermissionforusemustalwaysbeobtainedfromSpringer-Verlag.ViolationsareliableforprosecutionundertheGermanCopyrightLaw.Springer-VerlagBerlinHeidelbergNewYorkamemberofBertelsmannSpringerScience+BusinessMediaGmbH©Springer-VerlagBerl
6、inHeidelberg2000PrintedinGermanyTypesetting:Camera-readyTEXoutputbytheauthorSPIN:1072421641/3142-543210-Printedonacid-freepaperPrefaceInunderstandingspacesofcomplexstructures,ithasprovedtobeusefultoconstruct"canonical"Riemannianmetricsoncomplexmanifolds.Forsucha"canonical"metricgj,itisrequiredt
7、hatthismetricisuniquelydeterminedbytheunderlyingcomplexstructureJ,dependssmoothlyonthatstructure,andsatisfiesf*gg=gf.jforanydiffeomorphismfofthemanifoldMunderconsideration.Moreover,itisexpectedthatgjhasananalyzablebehaviorastheund
