局部对称空间中具有平行中曲率向量的子流形(英文)

On the Submanifold with Parallel Mean Curvature in Locally Symmetrical Space

给出了局部对称黎曼流行里具有平行中曲率向量的子流行的两个不等式,推广了邱成桐和莫小欢论文里相应的结果.

This paper provides two inequalities of the submanifold with parallel mean curvature vector in the locally symmetrical Riemannian manifold, and generalizes the two corresponding results of Yau S. T and Mo Xiao- huan.