Index Lowering

The indices of a contravariant tensor A^j can be lowered, turning it into a covariant tensor A_i, by multiplication by a so-called metric tensor g_(ij), e.g.,


See also

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

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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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Index Lowering

Cite this as:

Weisstein, Eric W. "Index Lowering." From MathWorld--A Wolfram Web Resource.

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