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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]
- parallel mean curvature vector fields 平行平均曲率向量场
- 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
- 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
- Pseudo-Umbilical Submanifolds with Parallel Mean Curvature Vector of a Locally Symmetric Space 局部对称空间中具有平行平均曲率的伪脐子流形
- Pseudo-Umbilical Submanifolds with Parallel Mean Curvature Vector in Locally Symmetric Space 局部对称空间中具有平行中曲率向量的伪脐子流形
- Submanifolds with Parallel Mean Curvature Vector in a Manifold of Quasi Constant Curvature 拟常曲率流形中有平行平均曲率向量的子流形
- The Submanifolds With parallel Mean Curvature Vector in a Locally Symmetric and Comformally Flat Riemannian Manifold 局部对称共形平坦黎曼流形中的平行平均曲率子流形
- The Submanifolds with Parallel Mean Curvature Vector in A Locally Symmetric Riemannian Manifold 局部对称黎曼流形中具有平行中曲率向量的子流形
- Space-like submanifolds with uint parallel mean curvature vector in de Sitter space 空间中有单位平行平均曲率的类空子流形
- On the Pseudo-Umbilical Spacelike Submanifolds with Parallel Mean Curvature Vector in de Sitter Space 空间中具有平行平均曲率向量的伪脐类空子流形