metric tensor 中文意思是什麼
metric tensor
解釋
度規張量-
Using the metric tensor, one may form compontents of other variances.
利用度量張量還可以構成其它變異的分量。 -
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。 -
Contravariant metric tensor
逆變度量張量 -
9. by the research of metric tensor and riemann tensor on riemann manifold, we get the inherent curvature of configuration space belonging to parallel mechanism. so the relative coordinates and generalized coordinates are inevitable choice for parallel mechanism. 10
9 、通過對度量張量和riemann張量的研究，得出並聯機構運動可達子空間的內在「彎曲」性質，指出使用相對坐標系和廣義坐標是研究並聯機構運動學和動力學問題的必然選擇。 -
Conjugate metric tensor
共軛度量張量
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