黎曼流形中具有平行平均曲率向量的子流形

On Submanifolds with Parallel Mean Curvature Vector in Riemannian Manifolds

该文研究球面中具有平行平均曲率向量的子流形 ,将所得结果推广到一般拼挤流形上 。

This paper studies the submanifolds with parallel mean curvature vector in a sphere, extends the obtained results to the general pinched Riemannian manifold,and gives an integral inequality for isometric immersed submanifolds with parallel mean curvature vector in pinched manifolds.