On a coordinate-invariant description of Riemannian manifolds

Details On a coordinate-invariant description of Riemannian manifolds On a coordinate-invariant description of Riemannian manifolds

Nov 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980gregr..12..963k&link_type=abstract

General Relativity and Gravitation, Volume 12, Issue 11, pp.963-970

Physics

8

Scientific paper

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.

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