On a coordinate-invariant description of Riemannian manifolds
On a coordinate-invariant description of Riemannian manifolds
复制标题
黎曼流形的坐标不变描述
DOI：
10.1007/bf00757367
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发表时间：
1980
影响因子：
2.8
通讯作者：
A. Karlhede
中科院分区：
文献类型：
--
作者：
A. Karlhede
已知黎曼流形的坐标不变描述是由曲率张量及其有限个关于正交标架的协变导数提供的。这些张量比度量张量更接近测量。本文讨论了这种描述在广义相对论中的有用性以及曲率张量及其导数之间的冗余性。
A coordinate-invariant description of a Riemannian manifold is known to be furnished by the curvature tensor and a finite number of its covariant derivatives relative to a field of orthogonal frames. These tensors are closer to measurements than the metrical tensor is. The present article discusses this description's usefulness in general relativity and the redundancy among the curvature tensor and its derivatives.