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A second-Rank symmetric Tensor is defined as a Tensor for which
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(1) |
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(2) |
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(3) |
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(4) |
The product of a symmetric and an Antisymmetric Tensor is 0. This can be seen as follows. Let
be Antisymmetric, so
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(5) |
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(6) |
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(7) |
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(8) |
A symmetric second-Rank Tensor has Scalar invariants
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(9) |
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(10) |
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© 1996-9 Eric W. Weisstein