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This paper discusses submanifolds with parallel mean curvature vector in local symmetric spaces and obtains integral invariants about the square of modulus-length. 讨论局部对称空间中具有平行平均曲率向量的子流形;得到其关于第二基本形式模长平方的积分不等式的相关定理.
The auther worked out a pinching theorem of compact pesudoumbilical submanifolds with parallel mean curvature vector in a locally symmetric conformally flat Riemannian manifolds. 摘要研究局部对称共形平坦黎曼流形中具平行平均曲率向量的紧致伪脐子流形，得到了这类子流形模长平方的一个拼挤定理。
As corollaries, some pinching problems on the submanifolds with parallel mean curvature vector in a unit sphere are discussed, which improves results obtained before. 作为推论，讨论了单位球面中具有平行平均曲率向量的子流形的第二基本形式长度的拼挤问题，改进了已有的结论。
By the algebraic estimation to the Simons-Formula, a result of submanifolds with parallel mean curvature vector in a conformally flat Riemannian manifold is provided. 通过对共形平坦空间中的Simons公式的代数估计，得到其中具有平行平均曲率向量的紧致子流形的一个拼挤性质。
In this paper, we gave an integral inequality for isometric immersed submanifolds with Parallel mean curvature vector in pinched Riemannian manifolds, and improve the result obtained by H. Q. Xu. 摘要本文对一般拼挤黎曼流形中的具有平行平均曲率向量的等距浸入子流形给出了一个积分不等式，改进了已有的结果。
ZHANG Jian-feng.On submanifolds with parallel mean curvature vector in a locally symmetric conformally flat Riemannian manifold [J].J of Zhejiang University (Science Edition), 1999,26(4) :26-34. [9]张剑锋.;局部对称共形平坦黎曼流形中具有平行平均曲率向量的子流形[J]
vector field of parallel mean curvature 平行平均曲率向量场
parallel mean curvature vector fields 平行平均曲率向量场
Submanifolds with Parallel Mean Curvature on a Unit Sphere 关于球面紧致子流形的一个刚性定理
Complete submanifolds with parallel mean curvature in a sphere 球面中具有平行中曲率的完备子流形
Bonnet Surface with Parallel Mean Curvature Direction in R4(C) R~4(C)中平均曲率方向平行的Bonnet曲面
GLOBAL THEOREM OF SUBMANIFOLDS WITH PARALLEL MEAN CURVATURE IN SPHERES 球面中具平行平均曲率向量的子流形的一个整体特征
Submanifolds with Parallel Mean Curvature Vector in Local Symmetric Spaces 局部对称空间中具有平行平均曲率向量的子流形
Rigidity Theorems for Pseudo-umbilical Submanifolds with Parallel Mean Curvature Vector 具有平行平均曲率向量的伪脐子流形的刚性定理
An inequality on submanifolds with parallel mean curvature vector in a space of constant curvature 常曲率空间中具有平行平均曲率向量子流形的不等式
The complete pseudo-umbilical submanifolds with parallel mean curvature vector in constant curvature space 常曲率空间中具有平行平均曲率的完备伪脐子流形
The properties of a riemannian foliation with parallel mean curvature on a Riemannian manifold 常曲率空间中具有相同常平均曲率的黎曼叶状结构的一些性质
On Submanifold with Parallel Mean Curvature Vector in a Locally- symmetric space 关于局部对称空间中具有平行平均曲率向量的子流形
On a Compact Submanifolds in Pinched Riemannian Manifolds with Parallel Mean Curvature Vector 拼挤黎曼流形中具有平行平均曲率向量的子流形
Some Complete Submanifolds with Parallel Mean Curvature and Finite Total Curvature 一类具有平行平均曲率和有限全曲率的完备子流形

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