SplitIndex.nb_1.html

Further Examples

Load xTensor`:

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Define a manifold (and its associated tangent bundle) and a tensor:

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The basic operation of splitting is as follows, replacing an index by different possibilities, and returning a list:

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${T_ ^dbc, T_ ^ebc, T_ ^fbc}$

Several indices can be splitted at the same time, producing a matrix of objects:

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${{{T_ ( T)^dg , T_ ^dgi}, {T_ ( T)^dh , T_ ^dhi}}, {{T_ ( T)^eg , T_ ^egi}, {T_ ( T)^eh , T_ ^ehi}}, {{T_ ( T)^fg , T_ ^fgi}, {T_ ( T)^fh , T_ ^fhi}}}$

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Splitting is performed even if the index is not present, giving multiple copies of the input:

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${T_ ^abc, T_ ^abc}$

Tidy up:

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Created by Mathematica (May 16, 2008)