Important: The tensor package has been deprecated. Use the superseding packages DifferentialGeometry and Physics instead.
Generate the Killing equation expressions for an arbitrary vector in the geometry of Euclidean 3-space using polar coordinates: First, compute the Christoffel symbols of the second kind:
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| (1) |
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Next, define the arbitrary vector field:
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Now compute the Killing equation expressions:
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Now try it for an arbitrary symmetric 0, 2-tensor:
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| (5) |