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- 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 deals with the regular curves in a Riemannian manifold with constant sectional curvature and the affine starlike curves in R2, R3 and R4. 本文研究了具有常截面曲率的黎曼流形中的正则曲线及二、三、四维空间中的仿射星形曲线。
- This paper obtaines some pinching theorems of compactly minimal Submanifolds in a locally symmetric and conformal flat Riemannian manifold. 对局部对称共形平坦黎曼流形中具有平坦法丛的极小子流形作了一些讨论,得到了极小子流形是全测地的两个充分条件。
- As an application, some nonexistence theorems of nonconstant stable harmonic maps from a Finsler manifold to a Riemannian manifold are given. 英文摘要： The first and second variation formulas of the energy functional for a nondegenerate map between Finsler manifolds is derived.
- In this paper,suppose M is a complete Riemannian manifold,and satifies dim HD( M) =1 ; then any harmonic m ap from M to a C-H manifold m ust be constant map was proved. 本文证明了完备非紧 Riemann流形 M;若其上不存在非常数、具有限 Dirichlet积分的调和函数 ;则从 M出发到任何 C-H流形的具有限能量的调和映照必为常值映照 .
- At the same time,The curvature tensor expression of a Riemannian manifold under the special semi-symmetric metric-recurrent connections is also obtained. 同时给出了特殊半对称联络的黎曼流形曲率张量表示。
- The n-dimensional umbilical submanifolds in a Riemannian manifold of quasi constant curvature are discussed. Two theorems on the above submanifolds are obtained. 摘要讨论拟常曲率黎曼流形中的全脐子流形，得到关于这类子流形的两个定理。
- Starting from the curvature of 3- dimensional Riemannian manifold, a new complex space which can contain the information of both geometrical optics and wave optics is built. 从三维黎曼流形的曲率出发，构造了一个复空间。它的流线能兼容几何光学与波动光学的信息。
- 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。
- Let Nn+p(c)be an n+p dimensional Riemannian manifold with constant curvature c and Mn an n dimensional compact submanifold of Nn+p(c). It is known that there is a Simons'inequality when Mn is minimal. 设Mn是等距浸入在常曲率黎曼流形Nn+p(c)中的n维紧致子流形;若Mn是极小的;有著名的Simons不等式.
- 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]
- Curvature Tensor of Riemannian Manifold 关于黎曼流形的曲率张量
- normal contact Riemannian manifold 正规切触黎曼流形
- complete noncompact Riemannian manifold 完备非紧黎曼流形
- The uses of this machine are manifold. 这台机器有多种用途。
- normal complete open riemannian manifold 完备非紧正则黎曼流形
- two-dimensional Riemannian manifold 二维黎曼流形
- Estimations of the moments of the hitting time by Brownian motions on general Riemannian manifolds are also obtained. 估计了一般黎曼流形上的布朗运动关于球面击中时的各阶矩。
- homeomorphic Riemannian manifold 同胚的黎曼流形
- quasi-constant curvature Riemannian manifold 拟常曲率黎曼流形
