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1、LectureNotesinMathematics1591Editors:A.Dold,HeidelbergB.Eckmann,ZUrichETakens,GroningenSubseries:ScuolaNorrnaleSuperiore,PisaAdvisor:E.VesentiniMarcoAbateGiorgioPatrizioFinslerMetricsAGlobalApproachwithapplicationstogeometricfunctiontheorySpringer-VerlagBerlinHeidelbergNewYorkLondonParisTokyo
2、HongKongBarcelonaBudapestAuthorsMarcoAbateDipartimentodiMatematicaUniversit~tdiAnconaViaBrecceBianche60131Ancona,ItalyGiorgioPatrizioDipartimentodiMatematicaUniversit~tdiRomaTorVergata00133Roma,ItalyMathematicsSubjectClassification(1991):32H15,53C60ISBN3-540-58465-XSpringer-VerlagBerlinHeidel
3、bergNewYorkCIP-DataappliedforThisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthematerialisconcerned,specificallytherightsoftranslation,reprinting,re-useofillustrations,recitation,broadcasting,reproductiononmicrofilmsorinanyotherway,andstorageindatabanks.Duplicationoft
4、hispublicationorpartsthereofispermittedonlyundertheprovisionsoftheGermanCopyrightLawofSeptember9,1965,initscurrentversion,andpermissionforusemustalwaysbeobtainedfromSpringer-Verlag.ViolationsareliableforprosecutionundertheGermanCopyrightLaw.9Springer-VerlagBerlinHeidelberg1994PrintedinGerman
5、yTypesetting:CamerareadybyauthorSPIN:1013016646/3140-543210-Printedonacid-freepaperContentsPreface......................................................................vii1.RealFinslergeometry1.0Introduction............................................................11.1Nonlinearconnections..
6、................................................31.1.1Preliminaries.....................................................31.1.2Horizontalandverticalbundles...................................51.1.3Localcoordinates................................................111.1.4Geodesics..................
7、......................................141.2Verticalconnections...................................................151.2.1Definitions.......................................................151.2.2Changeofcoordinates..............................
