Index Lowering

The indices of a contravariant tensor can be lowered, turning it into a covariant tensor , by multiplication by a so-called metric tensor , e.g.,

See also

Contravariant Tensor, Covariant Tensor, Index Gymnastics, Index Raising, Tensor, Tensor Index

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References

Misner, C. W.; Thorne, K. S.; and Wheeler, J. A. Gravitation. San Francisco, CA: W. H. Freeman, pp. 62 and 75-76, 1973.

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Cite this as:

Weisstein, Eric W. "Index Lowering." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/IndexLowering.html

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