tensor geometry 中文意思是什麼
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Witten ' s open string field theory formulate the interaction of bosonic open strings in the language of noncommutative geometry. compactification of matrix theory on the noncommutative torus was argued to correspond to supergravity with constant background three form tensor field. more generally, it has been realised that noncommutative gauge theory arises in the worldvolume theory on d - brane in the presence of a constant background b field in string theory
Witten的開弦場論用非對易幾何描述了玻色開弦的相互作用；在非對易torus上的矩陣理論的緊化對應于帶有常數三形式張量場的超引力；更為普遍的，非對易規范理論可以自然地產生在帶有常數b背景場的三維d - brane上。 -
By studying the geometry relationship among the corresponding points on three different projective planes based on epipolar geometry, it obtained the trilinear tensor constraining corresponding points of different view
該方法在極線幾何的基礎上，通過研究物體在3個不同透視投影平面上對應點之間的相互關系，得到描述不同圖像上對應點關系的一個三線性張量。 -
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。 -
Now there are two methods on the resarch of finsler geometry. one shi tensor method, the other is analytic method. in present papaer, we majorly use the lat tor
對于finsler幾何的研究，現在主要有兩種方法，一種是張量的方法，一種是分析的方法，本文主要採用了後者。
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