DefTensor.nb_1.html

Further Examples

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Define a 3d manifold M and a parameter time:

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Define a contravariant vector v on M:

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Define a symmetric two-covariant tensor g on M:

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Global`g

SymmetryGroupOfTensor[g]^=StrongGenSet[{1},GenSet[Cycles[{1,2}]]]

Dagger[g]^=g

xTensorQ[g]^=True

SlotsOfTensor[g]^={-TangentM,-TangentM}

DependenciesOfTensor[g]^={M}

FrobeniusQ[g]^=False

Info[g]^={tensor,}

TensorID[g]^={}

PrintAs[g]^=g

Define a time-dependent scalar field on M, with special output:

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The variable $Tensors contains the list of all defined tensors:

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Tidy up:

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Created by Mathematica (May 16, 2008)