riemannian manifold 中文意思是什麼

riemannian manifold 解釋
黎曼度規
  • manifold : adj 1 許多的；種種的，多樣的，多方面的，五花八門。2 由許多部分形成的。n 1 復寫本。2 【機械工程】...
  1. 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及二、三、四維空間中的仿射星形曲線。
  2. Let / be a diffeomorphism on a riemannian manifold. in this paper, we study the limit shadowing property of /

    設f是riemann流形上的一個微分同胚，本文研究了f的極限跟蹤性。
  3. Maximal and minimal value principle of differentiable functions on noncompact complete riemannian manifold

    非緊完備黎曼流形上可微函數的極值原理
  4. The second part consist of chapter four. in chapter one, we study the energy density of harmonic map from finsler manifold and generalize classical result in [ se ]. in chapter two, we obtain lower estimates for the first eigenvalue of the laplace operator on a compact finsler manifold, and it generalize lichnerowicz - obata theorem [ li ] [ ob ]. in chapter three, we derive the first and second variation formula for harmonic maps between finsler manifolds. as an application, some nonexistence theorems of nonconstant stable harmonic maps from a finsler manifold to a riemannian manifold are given

    第一章討論finsler流形到黎曼流形調和映射的能量密度的間隙性，推廣了[ se ]中的結果。第二章對緊致finsler流形上laplace運算元的第一特徵值的下界作了估計，推廣了黎曼流形上的lichnerowicz - obata定理[ li ] [ ob ] 。
  5. Harmonic maps between riemannian manifolds are very important in both differential geometry and mathematical physics. riemannian manifold and finsler manifold are metric measure space, so we can study harmonic map between finsler manifolds by the theory of harmonic map on general metric measure space, it will be hard to study harmonic map between finsler manifolds by tensor analysis and it will be no distinctions between the theory of harmonic map on finsler manifold and that of metric measure space. harmonic map between riemannian manifold also can be viewed as the harmonic map between tangent bundles of source manifold and target manifold

    黎曼流形間的調和映射是微分幾何和數學物理的重要內容。黎曼流形和finsler流形都是度量空間，自然可利用一般度量空間調和映射的理論討論finsler流形間的調和映射。但由於控制finsler流形性質的各種張量一般情況下很難應用到一般度量空間調和映射的理論中，使得這樣的討論大都是形式上的，並與一般度量空間調和映射的理論區別不大。
  6. On submanifolds with parallel mean curvature in a riemannian manifold of quasi constant curvature

    擬常曲率黎曼流形中具有平行平均曲率向量的子流形
  7. Curvature tensor of riemannian manifold

    關于黎曼流形的曲率張量
  8. Complete riemannian manifold

    完備黎曼流形
  9. Submanifolds with flat connection of normal bundle in a riemannian manifold of quasi constant curvature

    擬常曲率黎曼流形中的法聯絡平坦子流形
  10. The compact minimal submanifold of a locally symmetric and conformally flat riemannian manifold are studied, and obtain the following intrinsic rigidity theorem. i. e. if m be a compact minimal submanifold of a locally symmetric and conformally flat riemannian manifold n ( superscript n + p )

    摘要研究了局部對稱共形平坦黎曼流形的緊致極小子流形，即設m是局部對稱共形平坦黎曼流形的n維緊致極小子流形，得到了這種子流形的若干內蘊剛性積分不等式，給出了流形全測地的限制條件。
分享友人
分享到 Line

分享到臉書