关于球面极小子流形的一个Pinching常数

On a Pinching Constant of Minimal Submanifolds in Sphere

本文利用极大值原理，研究球面紧致极小子流形的Ｐｉｎｃｈｉｎｇ性质，得到了一些结果。

Using the maximum principle, we study the pinching properties of a compact minimal submanifold in sphere and obtain the follwing theorem:Theorem: Let M bea compact n-dimensional minimal submanifold in sphere Sn+p with isotropic second fundamental form σ.‖σ‖2 < , then M is a total geodesic sphere.