metric

Geodesic Movement of a Charge on a Surface with Electric Field
The theoretical description of the movement of a particle in some curved 3Dspace and the movement of it on a 2Dsurface are equivalent. Both entities are described by a metric and the equation of motion is the geodesic equation. Further giving the particle a charge lets it further interact with an electric field. In this problem you can learn to derive the corresponding geodesic equation.