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Covariant Derivative of a Field along a Curve

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This Demonstration gives a visual representation of the covariant derivative of a field along a curve , induced by a field , where is a Peano surface with parametric equations given by the chart

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This covariant derivative has been computed from its representation in terms of the given chart, the field and the corresponding Christoffel symbols:

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where are the coefficients of .

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Contributed by: Diego Ramos (March 2020)
Open content licensed under CC BY-NC-SA

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Reference

[1] Wikipedia. "Covariant Derivative." (3/19/20) en.wikipedia.org/wiki/Covariant_derivative.
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