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- In Riemannian manifolds, one studies Riemannian metric, covariant derivative, Riemannian connection, basic properties of the Riemann curvature tensor, curvature forms etc. 黎曼流形部分主要涉及黎曼度量,黎曼流形的定义,切向量场的协变微分,黎曼联络,黎曼几何的基本定理,曲率张量,曲率形式等概念和理论。
- Riemann curvature tensor 黎曼曲率张量
- Riemann surfaces, Riemann integrals, and Riemann curvature, among other concepts, contributed to the understanding of curves and surfaces, as well as of calculus. 其他概念中的黎曼曲面、黎曼积分、黎曼曲率对理解曲线和曲面以及微积分很有帮助。
- At the same time,The curvature tensor expression of a Riemannian manifold under the special semi-symmetric metric-recurrent connections is also obtained. 同时给出了特殊半对称联络的黎曼流形曲率张量表示。
- In this paper, we investigate the whole formulas of the curvature tensor, Ricci curvature and scalar curvature on the singly and doubly warped product on Lorentzian manifolds. 给出了洛伦茨流形上的曲率张量、纯量曲率的计算公式;并推导出了洛伦茨流形上的二重扭积公式.
- It had been proved that the curvature tensor is a curl(grad),not zero except in Eucldean space,and so discovered the essence of Bianchi identity:div(rot(grad))=0,the curvature,forming tube field,is invariant along the tube,i. 证实 :曲率它正是非欧氏空间不为零的梯度的旋度 .;并发现 :Bianchi等式实质是div(rot(grad) ) =0;曲率形成管形场;沿管不变
- curvature tensor of an affine connection 仿射联络的曲率张量
- Curvature Tensor of Riemannian Manifold 关于黎曼流形的曲率张量
- harmonic Mobius curvature tensor 调和Mobius曲率张量
- harmonic Riemannian curvature tensor 调和Riemann曲率张量
- Suanifolds with the Vanishing Normal Curvature Tensor in Locally Syetric Space 局部对称黎曼流形中法曲率张量场消失的子流形
- THE RICCI AND BOCHNER TYPE CURVATURE TENSOR OF CONTACT RIEMANNIAN STRUCTURE Contact黎曼结构的Ricci与Bochner型曲率张量
- Riemann curvature 黎曼曲率
- The Invariant of Projective Transformation of Semisymmetric Metric-recurrent Connections and Curvature Tensor Expressions 半对称度量循环联络射影变换的不变量及曲率张量表示
- Can mathematicians prove the Riemann hypothesis? 数学家可以证明黎曼猜想吗?
- I think it would be the Riemann Hypothesis. 我想那一定是“黎曼猜想”。
- Bernhard Riemann pioneered elliptic geometry. 伯恩哈德·黎曼开辟了椭圆几何学。
- Tensor algebra is tied to coordinates. 张量代数则离不开坐标系。
- Curvature tensors, gauge field are actually curl field of gradient 曲率张量,规范场的实质:梯度的旋度场
- Such curvature has no effect on wettability. 这种曲度对润湿性并无影响。