The geodesic method for gravitational deflection is the Euclidean-space special case of the Gibbons-Werner Gauss-Bonnet method.
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Equivalence of Gibbons-Werner method to geodesics method in the study of gravitational lensing
The geodesic method for gravitational deflection is the Euclidean-space special case of the Gibbons-Werner Gauss-Bonnet method.