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1、GeometryandPhysicsJürgenJostGeometryandPhysicsJürgenJostMaxPlanckInstituteforMathematicsintheSciencesInselstrasse224103LeipzigGermanyjjost@mis.mpg.deISBN978-3-642-00540-4e-ISBN978-3-642-00541-1DOI10.1007/978-3-642-00541-1SpringerHeidelbergDordrechtLondonNewYorkLibraryofCon
2、gressControlNumber:2009934053MathematicsSubjectClassification(2000):51P05,53-02,53Z05,53C05,53C21,53C50,53C80,58C50,49S05,81T13,81T30,81T60,70S05,70S10,70S15,83C05©Springer-VerlagBerlinHeidelberg2009Thisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofth
3、ematerialisconcerned,specificallytherightsoftranslation,reprinting,reuseofillustrations,recitation,broadcasting,reproductiononmicrofilmorinanyotherway,andstorageindatabanks.DuplicationofthispublicationorpartsthereofispermittedonlyundertheprovisionsoftheGermanCopyrightLawofSe
4、ptember9,1965,initscurrentversion,andpermissionforusemustalwaysbeobtainedfromSpringer.ViolationsareliabletoprosecutionundertheGermanCopyrightLaw.Theuseofgeneraldescriptivenames,registerednames,trademarks,etc.inthispublicationdoesnotimply,evenintheabsenceofaspecificstatement
5、,thatsuchnamesareexemptfromtherelevantprotectivelawsandregulationsandthereforefreeforgeneraluse.Coverdesign:WMXDesignPrintedonacid-freepaperSpringerispartofSpringerScience+BusinessMedia(www.springer.com)DedicatedtoStephanLuckhaus,withrespectandgratitudeforhiscriticalmindTh
6、eaimofphysicsistowritedowntheHamiltonianoftheuniverse.Therestismathematics.Mathematicswantstodiscoverandinvestigateuniversalstructures.Whichofthemarerealizedinnatureislefttophysics.PrefacePerhaps,thisisabadbook.Asamathematician,youwillnotfindasystematictheorywithcompletepro
7、ofs,and,evenworse,thestandardsofrigorestablishedformathematicalwritingwillnotalwaysbemaintained.Asaphysicist,youwillnotfindcoherentcomputationalschemesforarrivingatpredictions.Perhapsevenworse,thisbookisseriouslyincomplete.Notonlydoesitfallshortofacoherentandcompletetheoryo
8、fthephysicalforces,simplybecausesuchathe-orydoesnotyetexist,butitalsoleavesoutmanyaspects
