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Geometry and Analysis(Vol.I)(几何与分析)(第I卷) 作者：季理真　　 ISBN：978-7-04-030272-1　出版时间：2010-10-08

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FrontMatter

Part1SummaryofandCommentariesontheWorkofShing-TungYau

0CurriculumVitaeofShing-TungYau

1ABriefOverviewoftheWorkofShing-TungYauLizhenJi

2Yau'sWorkonFilteringProblemWen-LinChiou,JieHuangandLizhenJi

3FromContinuestoDiscrete—Yau'sWorkonGraphTheoryFanChung

4Yau'sWorkonModuli,Periods,andMirrorMapsforCalabi-YauManifoldsCharlesF.Doran

5ReviewonYau'sWorkontheCoupledEinsteinEquationsandtheWaveDynamicsintheKerrGeometryFelixFinster

6TheWorkofWittenandYauontheAdS/CFTCorrespondenceGregoryJ.Galloway

7Yau'sWorkonHeatKernelsAlexanderGrigor'yan

8Yau'sContributionstoEngineeringFieldsXianfengDavidGu

9TheSYZProposalNaichungConanLeung

10Yau-ZaslowFormulaNaichungConanLeung

11Yau'sWorkonFunctionTheory:HarmonicFunctions,EigenvaluesandtheHeatEquationPeterLi

12AVisionofYauonMirrorSymmetryBongLian

13Yau'sWorkonGroupActionsKefengLiu

14ChengandYau'sWorkontheMonge-AmpereEquationandAffineGeometryJohnLoftin,Xu-JiaWangandDeaneYang

15Yau'sWorkonMinimalSurfacesand3-manifoldsFengLuo

16TheWorkofSchoenandYauonManifoldswithPositiveScalarCurvatureWilliamMinicozziII

17Yau'sContributionstoAlgebraicGeometryAndreyTodorov

18Yau'sWorkonPositiveMassTheoremsMu-TaoWang

19Yau'sConjectureonKahler-EinsteinMetricandStabilityXiaoweiWang

20OnYau'sPioneerContributionontheFrankelConjectureandRelatedQuestionsFangyangZheng

21Yau'sWorkonInequalitiesBetweenChernNumbersandUniformizationofComplexManifoldsKangZuo

Part2DifferentialGeometryandDifferentialEquations

22GeometryofCompleteGradientShrinkingRicciSolitonsHuai-DongCao

23TheFormationofBlackHolesinGeneralRelativityDemetriosChristodoulou

24PageRankasaDiscreteGreen'sFunctionFanChung

25AGeodesicEquationintheSpaceofSasakianMetricsPengfeiGuanandXiZhang

26SomeInverseSpectralResultsfortheTwo-dimensionalSchrodingerOperatorV.GuilleminandA.Uribe

27Li-YauEstimatesandtheirHarnackInequalitiesRichardS.Hamilton

28PlurisubharmonicityinaGeneralGeometricContextF.ReeseHarveyandH.BlaineLawson,Jr

29PoissonModulesandGeneralizedGeometryNigelHitchin

30UniquenessofSolutionstoMeanFieldEquationsofLiouvilleTypeinTwo-dimensionChang-shouLin

31MonotonicityandHolomorphicFunctionsLeiNi

32DecayofSolutionstotheCauchyProblemintheKerrGeometryforVariousPhysicalSystems:StabilityofBlackHolesJ.A.Smoller

33TheCalabi-YauEquation,SymplecticFormsandAlmostComplexStructuresValentinoTosattiandBenWeinkove

34UnderstandingWeil-PeterssonCurvatureScottA.Wolpert

35ExamplesofPositivelyCurvedCompleteKahlerManifoldsHung-HsiWuandFangyangZheng

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