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Example 1.
First create a 2-dimensional manifold and define a connection on the tangent space of .
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| (2.2) |
To determine the geodesic equations for this connection we first define a curve on by specifying a list of functions of a single variable .
The program GeodesicEquations returns a vector whose components are the components of the geodesic equations.
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To solve these geodesic equations use DGinfo to obtain the coefficients of as a list. Pass the result to dsolve to solve this system of 2 second order ODEs. See also DGsolve.
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| (2.6) |