| 1. | Many mathematical structures called " tensors " are actually tensor fields.
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| 2. | The metric tensor is an example of a tensor field.
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| 3. | Thus a one-form is an order 1 covariant tensor field.
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| 4. | Other physically important tensor fields in relativity include the following:
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| 5. | And is a contraction to a tensor field of order.
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| 6. | Fermions are described by spinor field, while bosons by tensor field.
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| 7. | In physics, tensor fields describe bosons and spinor fields describe fermions.
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| 8. | Contraction is often applied to tensor fields over spaces ( e . g.
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| 9. | A particularly important class of tensor fields is the class of differential forms.
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| 10. | This notation allows the most efficient expressions of such tensor fields and operations.
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