riemannian geometry 中文意思是什麼

riemannian geometry 解釋
黎曼幾何學
  • geometry : n. 1. 幾何學。2. 幾何形狀。3. 幾何學著作。
  1. In this papaer, a note about the proof of the chain rule in the book 《 an introduction to differentiable manifolds and riemannian geometry 》 is offered

    給出了《微分流形與黎曼幾何引論》一書中關于鏈法則證明的一個注記
  2. 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。
  3. The text however develops basic riemannian geometry, complex manifolds, as well as a detailed theory of semisimple lie groups and symmetric spaces

    然而課程還將簡單介紹了基本的黎曼幾何和復流形的知識，並會詳細討論半單李群和對稱空間的理論。
  4. The non - riemannian geometric quantities in finsler geometry describe the difference between finsler geometry and riemann geometry

    Finsler幾何中的非黎曼幾何量刻畫的是finsler幾何與黎曼幾何的不同之處。
  5. Some intrinsic metrics in differential manifolds, such as cara - theodory metrics and kobayashi metrics in complex manifolds, are finsler metrics. finsler metrics is just riemannian metrics without quadratic restriction, which was firstly introduced by b. riemann in 1854. the geometry with finsler metric is called finsler geometry

    Finsler度量是沒有二次型限制的riemann度量， riemann在1854年的就職演說中已經涉及了這種情形。以finsler度量為基礎的幾何學被稱為finsler幾何。
  6. A riemannian geometry underlying stochastic algorithm for log - optimal portfolio problem with risk control

    最優投資組合問題的一個黎曼幾何隨機演算法
  7. A riemannian geometry underlying stochastic algorithm for adaptive principal component analysis

    主成分分析的一個黎曼幾何隨機演算法
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