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- first curvature vector 第一曲率向量
- In this paper,the geometry of submanifolds with parally mean curvature vector in a locally symmetric, conformally falt Riemannian manifold is studied. 本文研究局部对称共形平坦黎曼流形中具有平行平均曲率向量的紧致子流形的性质。
- 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
- parallel unit mean curvature vector 标准平均曲率向量
- normalized mean curvature vector 单位平均曲率向量
- Leaving her first job was a watershed in her life. 辞去她的第一份工作是她生活中的一个转折点。
- Cook the meat quickly at first to seal in the juices. 一开始要大火烧肉,以便保存肉汁。
- In the word "mother" the stress is on the first syllable. 在"mother"这一字里,重音在第一个音节上。,在"mother"这一字里,重音在第一个音节上。
- His illness was more serious than the doctor first thought. 他的病较医生原来以为的更严重。
- Passengers with cars must embark first. 带汽车的乘客必须先上船。
- Bob teed off on the new pitcher's first delivery. 鲍勃猛击那新投手所投的第一个球。
- Alarmed at the first sound, we hit the dirt. 第一声警报一响我们就迅速卧倒。
- Submanifolds with Parallel Normalized Mean Curvature Vector in a Sphere 单位球面中具平行单位平均曲率向量的子流形
- She struck up the first carol on the grand piano. 她在那架大钢琴上演奏起第一支颂歌。