资源描述：
《An introduction to Finsler geometry英文学习资料》由会员上传分享，免费在线阅读，更多相关内容在学术论文-天天文库。
1、«n>PekingUniversitytfzSjESeriesinMathematics—Vol.1ANINTRODUCTIONTOFINSLERGEOMETRYXlaohuanMoANINTRODUCTIONTOFINSLERGEOMETRYPEKINGUNIVERSITYSERIESINMATHEMATICSSeriesEditor:Kung-ChingChang(PekingUniversity,China)Vol.1:AnIntroductiontoFinslerGeometrybyXiaohuanMo(PekingUniversity,China)PekingU
2、niversity(lfc?sPSeriesinMathematics—Vol.1"W-IJ,"'••;:ix.ANINTRODUCTIONTOFINSLERGEOMETRYXiaohuanMojj^WorldScientificNEWJERSEY•LONDON•SINGAPORE•BEIJING•SHANGHAI•HONGKONG•TAIPEI•CHENNAIPublishedbyWorldScientificPublishingCo.Pte.Ltd.5TohTuckLink,Singapore596224USAoffice:27WarrenStreet,Suite4
3、01-402,Hackensack,NJ07601UKoffice:57SheltonStreet,CoventGarden,LondonWC2H9HEBritishLibraryCataloguing-in-PublicationDataAcataloguerecordforthisbookisavailablefromtheBritishLibrary.ANINTRODUCTIONTOFINSLERGEOMETRYCopyright©2006byWorldScientificPublishingCo.Pte.Ltd.Allrightsreserved.Thisbook
4、,orpartsthereof,maynotbereproducedinanyformorbyanymeans,electronicormechanical,includingphotocopying,recordingoranyinformationstorageandretrievalsystemnowknownortobeinvented,withoutwrittenpermissionfromthePublisher.Forphotocopyingofmaterialinthisvolume,pleasepayacopyingfeethroughtheCopyri
5、ghtClearanceCenter,Inc.,222RosewoodDrive,Danvers,MA01923,USA.Inthiscasepermissiontophotocopyisnotrequiredfromthepublisher.ISBN981-256-793-3PrintedinSingaporebyWorldScientificPrinters(S)PteLtdPrefaceThisbookusesthemovingframeasatoolanddevelopsFinslergeometryonthebasisofthediscoveryofChernc
6、onnectionandprojectivespherebundle.ItsystematicallyintroducesthreeclassesofgeometricalinvariantsonFinslermanifoldsandtheirintrinsicrelation,analyseslocalandglobalresultsfromclassicandmodernFinslergeometry,andgivesnon-trivialexamplesofFinslermanifoldssatisfyingkindsofcurvatureconditions.Mo
7、stofthegeometricinvariantsandfundamentalequationsinthisbooklieontheprojectivespherebundle,thatis,theyarepositivelyhomogenousdegreezerowithrespecttothetangentvectors.Thecontentofthisbookisbriefandtothepoint.WerevealthestudyingmethodofmodernFishergeometrybyintroducing
