tangent bundle meaning in Chinese

切丛

Geometry on the unit tangent bundle t1s2n
1上的几何
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
黎曼流形间的调和映射是微分几何和数学物理的重要内容。黎曼流形和finsler流形都是度量空间，自然可利用一般度量空间调和映射的理论讨论finsler流形间的调和映射。但由于控制finsler流形性质的各种张量一般情况下很难应用到一般度量空间调和映射的理论中，使得这样的讨论大都是形式上的，并与一般度量空间调和映射的理论区别不大。