[黎曼几何].jost.riemannian.geometry.and.geome

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1、UniversitextJürgenJostRiemannianGeometryandGeometricAnalysisFourthEditionWith14Figures123JürgenJostMaxPlanckInstituteforMathematicsintheSciencesInselstr.2204103LeipzigGermanye-mail:jost@mis.mpg.deMathematicsSubjectClassification(2000):53B21,53L20,32C17,35I60,49-XX,58E20,57R15LibraryofCongre

2、ssControlNumber:2005925885ISBN-103-540-25907-4SpringerBerlinHeidelbergNewYorkISBN-13978-3-540-25907-7SpringerBerlinHeidelbergNewYorkISBN3-540-42627-23rded.Springer-VerlagBerlinHeidelbergNewYorkThisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthematerialisconcerned,s

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6、1142254941/TechBooks-543210DedicatedtoShing-TungYau,forsomanydiscussionsaboutmathematicsandChineseculturePrefaceRiemanniangeometryischaracterized,andresearchisorientedtowardsandshapedbyconcepts(geodesics,connections,curvature,...)andobjectives,inparticulartounderstandcertainclassesof(compa

7、ct)Riemannianmanifoldsdefinedbycurvatureconditions(constantorpositiveornegativecurvature,...).Bywayofcontrast,geometricanalysisisaperhapssomewhatlesssystem-aticcollectionoftechniques,forsolvingextremalproblemsnaturallyarisingingeometryandforinvestigatingandchar