局部对称空间中具有平行中曲率向量的子流形

On the submanifolds with parallel mean curvature vector in locally symmetric space

研究了局部对称黎曼流形中具有平行中曲率向量的子流形,给出了一个与子流形的截面曲率、平均曲率及余维数有关的夹挤定理。

The compact submanifolds with parallel mean curvature in locally symmetric δ-Pinching Riemannian manifold are discussed, a Pinching theorem for section curvature and mean curvature of submanifold is given.