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《Nomizu Sasaki - Affine Differential Geometry (CUP 1995)》由會(huì)員上傳分享，免費(fèi)在線閱讀，更多相關(guān)內(nèi)容在學(xué)術(shù)論文-天天文庫(kù)。
1、111AFFINEDIFFERENTIALGEOMETRYKA'ISLNIINOMIZU&TAKI:SE-IISASAKICAMBRIDGEUNIVERSITYPRESSKatsumiNomizuBrownUniversityTakeshiSasakiKobeUniversityAffinedifferentialgeometryGeometryofAffineImmersionsAMBRIDGEUNIVERSITYPRESSPublishedbythePressSyndicateoftheUniversityofCambridgeThePittBuilding
2、,TrumpingtonStreet,CambridgeCB21RP40West20thStreet,NewYork,NY10011-4211,USA10StamfordRoad,Oakleigh,Melbourne3166,Australia?CambridgeUniversityPress1994Firstpublished1994PrintedinGreatBritainattheUniversityPress,CambridgeAcataloguerecordforthisbookisavailablefromtheBritishLibraryLibra
3、ryofCongresscataloguinginpublicationdataavailableNomizu,Katsumi,1924-Affinedifferentialgeometry:geometryofaffineimmersions/KatsumiNomizuandTakeshiSasaki.p.cm.-(Cambridgetractsinmathematics;111)Includesbibliographicalreferences(p.000-000)andindexes.ISBN05214417731.Geometry,Affine.I.Sa
4、saki,Takeshi,1944-.III.Title.III.Series.QA477.N661994516.3'6-dc2O93-46712CIPISBN0521441773hardbackTAGCONTENTSPreface...........................viiIntroduction........................ixChapterIAffinegeometryandaffineconnections1.Planecurves.........................12.Affinespace......
5、...................73.Affineconnections.....................114.Nondegeneratemetrics...................185.Vectorbundles.......................22ChapterIIGeometryofaffineimmersions-thebasictheory1.Affineimmersions.....................272.Fundamentalequations.Examples..............323
6、.Blaschkeimmersions-theclassicaltheory...........404.Cubicforms........................505.Conormalmaps......................576.Laplacianfortheaffinemetric................647.Lelieuvre'sformula.....................688.Fundamentaltheorem....................739.Somemoreformulas.......
7、.............7710.LaplacianofthePickinvariant...............8211.Behaviorofthecubicformonsurfaces............87ChapterIIIModelswithremarkableproperties1.Ruledaffinespheres912.Somemorehomogeneoussurfaces..............953.Classificationofequiaffinelyhomogeneoussurfaces.......1024.SL(n,
8、R)andSL(n,R)
