| 1. | See also gauge covariant derivative for a treatment oriented to physics.
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| 2. | The covariant derivative can in turn be recovered from parallel transport.
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| 3. | It defines a covariant derivative \ mathcal { D } _ a.
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| 4. | Thus the covariant derivative of a supermultiplet is another supermultiplet.
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| 5. | The most popular approach is probably the definition motivated by covariant derivatives.
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| 6. | In curved space-time, we must take the covariant derivative.
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| 7. | Even to formulate such equations requires a fresh notion, the covariant derivative.
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| 8. | The covariant derivative defined with the spin connection is,
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| 9. | The covariant derivative is a generalization of the directional derivative from vector calculus.
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| 10. | The above differential equation can be rewritten in terms of the covariant derivative as
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