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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. 本文研究局部對稱(chēng)共形平坦黎曼流形中具有平行平均曲率向量的緊致子流形的性質(zhì)。
- 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則曲線(xiàn)及二、三、四維空間中的仿射星形曲線(xiàn)。
- This paper obtaines some pinching theorems of compactly minimal Submanifolds in a locally symmetric and conformal flat Riemannian manifold. 對局部對稱(chēng)共形平坦黎曼流形中具有平坦法叢的極小子流形作了一些討論,得到了極小子流形是全測地的兩個(gè)充分條件。
- 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. 本文證明了完備非緊 Riemann流形 M;若其上不存在非常數、具有限 Dirichlet積分的調和函數 ;則從 M出發(fā)到任何 C-H流形的具有限能量的調和映照必為常值映照 .
- At the same time,The curvature tensor expression of a Riemannian manifold under the special semi-symmetric metric-recurrent connections is also obtained. 同時(shí)給出了特殊半對稱(chēng)聯(lián)絡(luò )的黎曼流形曲率張量表示。
- The n-dimensional umbilical submanifolds in a Riemannian manifold of quasi constant curvature are discussed. Two theorems on the above submanifolds are obtained. 摘要討論擬常曲率黎曼流形中的全臍子流形,得到關(guān)于這類(lèi)子流形的兩個(gè)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. 從三維黎曼流形的曲率出發(fā),構造了一個(gè)復空間。它的流線(xiàn)能兼容幾何光學(xué)與波動(dòng)光學(xué)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. 通過(guò)對共形平坦空間中的Simons公式的代數估計,得到其中具有平行平均曲率向量的緊致子流形的一個(gè)拼擠性質(zhì)。
- 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. 設Mn是等距浸入在常曲率黎曼流形Nn+p(c)中的n維緊致子流形;若Mn是極小的;有著(zhù)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]張劍鋒.;局部對稱(chēng)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 關(guān)于黎曼流形的曲率張量
- normal contact Riemannian manifold 正規切觸黎曼流形
- complete noncompact Riemannian manifold 完備非緊黎曼流形
- The uses of this machine are manifold. 這臺機器有多種用途。
- normal complete open riemannian manifold 完備非緊正則黎曼流形
- two-dimensional Riemannian manifold 二維黎曼流形
- Estimations of the moments of the hitting time by Brownian motions on general Riemannian manifolds are also obtained. 估計了一般黎曼流形上的布朗運動(dòng)關(guān)于球面擊中時(shí)的各階矩。
- homeomorphic Riemannian manifold 同胚的黎曼流形
- quasi-constant curvature Riemannian manifold 擬常曲率黎曼流形