Sie suchten nach: what metric is aed (Spanisch - Englisch)

the metric is a symmetric tensor and is an important mathematical tool.
the metric is a symmetric tensor and is an important mathematical tool.

at each point of a spacetime on which a metric is defined, the metric can be reduced to the minkowski form using sylvester's law of inertia.
at each point of a spacetime on which a metric is defined, the metric can be reduced to the minkowski form using sylvester's law of inertia.

the crucial feature of tensors used in this approach is the fact that (once a metric is given) the operation of contracting a tensor of rank r over all r indices gives a number - an "invariant" - that is independent of the coordinate chart one uses to perform the contraction.
the crucial feature of tensors used in this approach is the fact that (once a metric is given) the operation of contracting a tensor of rank r over all r indices gives a number - an "invariant" - that is independent of the coordinate chart one uses to perform the contraction.