Important: The tensor package has been deprecated. Use the superseding commands DifferentialGeometry[Tensor][GeodesicEquations] and Physics[Geodesics] instead.
Determine the geodesic equations for the Poincare half-plane. The coordinates are:
The metric is:
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Now generate the geodesic equations:
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How about Euclidean 3-space in Cartesian coordinates?
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and in spherical-polar coordinates?
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The metric is:
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Now generate the geodesic equations:
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| (13) |