研究拟常曲率黎曼流形中具有平行平均曲率向量的紧致子流形。

The compact submanifolds in quasi constant curvature Riemannian manifolds with Parallel Mean Curature Vector were studied.

youdao

该文研究了局部对称共形平坦空间中具有常数量曲率的紧致子流形，证明了这类子流形的某些内蕴刚性定理。

In this paper, the authors discuss the submanifolds with constant scalar curvature in a locally symmetric and conformally flat space, and obtain some intrinsic rigidity theorems.

youdao

通过计算全测地子流形的基本群，确定了紧正规黎曼对称空间的极大的极大秩全测地子流形的整体分类。

In this paper, the authors give the globally classfication of the maximal totally geodesic submanifolds with maximal rank of normal Riemannian symmetric Spaces by computing the fundamental group.

youdao