(5.2)--Differential Geometry of curves微分几何微分几何

DifferentialGeometryofCurvesandSurfacesManfredoP.doCarmoInstitutodeMatematicaPuraeAplicada(IMPA)RiodeJaneiro,BrazilPrentice-Hall,Inc.,UpperSaddleRiver,NewJersey07458ContentsPrefacevSomeRemarksonUsingthisBookvii1.Curves11-1Introduction11-2ParametrizedCurves21-3RegularCurves;ArcLength51-4TheVectorProductinR3//1-5TheLocalTheoryofCurvesParametrizedbyArcLength161-6TheLocalCanonicalForm271-7GlobalPro...