= Complex geodesic
{wiki=Complex_geodesic}
In the context of differential geometry and complex analysis, a **complex geodesic** typically refers to a generalization of the concept of a geodesic in the realm of complex manifolds or complex spaces. The classical notion of a geodesic is a curve that is locally a distance minimizer between points in a given space. In Riemannian geometry, geodesics are trajectories that exhibit extremal properties (typically, minimizing lengths) in a curved space.
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