简介:BymeansofthetheoryofharmonicmapsintotheunitarygroupU(N),theauthorsstudyharmonicmapsintothesymplecticgroupSp(N).Thesymplecticunitonandsymplecticex-tendedunitonareintroduced.ThemethodofthesymplecticBacklundtransformationandtheDarbouxtransformationisusedtoconstructnewsymplecticunitonsfromaknownone.
简介:ANEWCERAMIDEFROMTHEMARINESPONGEBIEMNASP.¥ZhiZERG;LongMeiZENG;JingYuSU(DepartmentofChemistry,ZhongshanUniversity,Guangzhou,610...
简介:LetM^nbeaclosedspacelikesubmanifoldisometricallyimmersedindeSitterspaceSp^(n+p)(c),DenotebyR,HandSthenormalizedscalarcurvature,themeancurvatureandthesquareofthelengthofthesecondfundamentalformofM^n,respectively.SupposeRisconstantandR≤c.ThepinchingproblemonSisstudiedandarigiditytheoremforM^nimmersedinSp^(n+p)(c)withparallelnormalizedmeancurvaturevectorfieldisproved.Whenn≥3,thepinchingconstantisthebest.Thus,themistakeofthepaper“Space-likehypersurfacesindeSitterspacewithconstantscalarcurvature”(seeManusMath,1998,95:499-505)iscorrected.Moreover,thereductionofthecodimensionwhenM^nisacompletesubmanifoldinSp^(n+p)(c)withparallelnormalizedmeancurvaturevectorfieldisinvestigated.
简介:
简介:一、选择题(每小题4分,共28分)1.已知:如图D-1,BC切⊙O于B,∠AOB=110°,则∠ABC=( )(A)110° (B)55° (C)70° (D)35°图D-2图D-1 2.如图D-2,⊙O是Rt△ABC的内切圆,切点为D、E、F,∠C=90°,AC=6,BC=8,则AF+BE=( )(A)8 (B)6 (C)10 (D)123.两圆的直径分别为10和6,圆心距为4,则两圆的位置关系是( )(A)外离 (B)外切 (C)相交 (D)内切4.如图D-3,弦AB、CD相交于P,PA=3cm,PB=4cm,CD=8cm,且CP<PD,则CP=( )(A)2cm (B)6cm (C)2