【關於常曲率空間的某些超曲面】杭州大學白正國沈一兵.pdf
关于常曲率空间的某些起 曲面 焦晓祥
V=H,hen eeeh lxj v(v) is total!inbilical.in partiuutan H=oit in totaMy geo jesi ;(A) uhenm,ni≥2,L(p) peacict4 tuy Spheres;(A2) when m ≥2,m =1.L(p) i α locus(4 clsrg gintegnulcuneo4(μ) m—Spheve of Smi+cp)o(H3) when m=m=1.L(p) i a hon-toteally vatune.
meun Cuwrtune of M anel m.m>.H: - M must be isopcrametie.Mje tuely compaet iviiifuceswithy nonneyative Seetionalcwutune.!et Tbe α cymmetuetensor typelafmel on M, WeclenotetheRiemannian ConnectionofM 1by V, when(VzT)(x.Y) =(VrT)(x.Z)x.Y.Z∈Tr mpmlepfrrvxoysm get Theolem.