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1、GeometryandPhysicsThispageintentionallyleftblankJürgenJostGeometryandPhysicsJürgenJostMaxPlanckInstituteforMathematicsintheSciencesInselstrasse224103LeipzigGermanyjjost@mis.mpg.deISBN978-3-642-00540-4e-ISBN978-3-642-00541-1DOI10.1007/978-3-642-00541-1Sp
2、ringerHeidelbergDordrechtLondonNewYorkLibraryofCongressControlNumber:2009934053MathematicsSubjectClassification(2000):51P05,53-02,53Z05,53C05,53C21,53C50,53C80,58C50,49S05,81T13,81T30,81T60,70S05,70S10,70S15,83C05©Springer-VerlagBerlinHeidelberg2009Thisw
3、orkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthematerialisconcerned,specificallytherightsoftranslation,reprinting,reuseofillustrations,recitation,broadcasting,reproductiononmicrofilmorinanyotherway,andstorageindatabanks.Duplicationo
4、fthispublicationorpartsthereofispermittedonlyundertheprovisionsoftheGermanCopyrightLawofSeptember9,1965,initscurrentversion,andpermissionforusemustalwaysbeobtainedfromSpringer.ViolationsareliabletoprosecutionundertheGermanCopyrightLaw.Theuseofgeneraldes
5、criptivenames,registerednames,trademarks,etc.inthispublicationdoesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfromtherelevantprotectivelawsandregulationsandthereforefreeforgeneraluse.Coverdesign:WMXDesignPrintedonacid-freepaperSpr
6、ingerispartofSpringerScience+BusinessMedia(www.springer.com)DedicatedtoStephanLuckhaus,withrespectandgratitudeforhiscriticalmindThispageintentionallyleftblankTheaimofphysicsistowritedowntheHamiltonianoftheuniverse.Therestismathematics.Mathematicswantsto
7、discoverandinvestigateuniversalstructures.Whichofthemarerealizedinnatureislefttophysics.PrefacePerhaps,thisisabadbook.Asamathematician,youwillnotfindasystematictheorywithcompleteproofs,and,evenworse,thestandardsofrigorestablishedformathematicalwritingwil
8、lnotalwaysbemaintained.Asaphysicist,youwillnotfindcoherentcomputationalschemesforarrivingatpredictions.Perhapsevenworse,thisbookisseriouslyincomplete.Notonlydoesitfallshortofacoherentandcompletetheoryofthephysicalforces,simplybeca
