Gravitational lensing in the Kerr-Randers optical geometry

A new geometric method to determine the deflection of light in the equatorial plane of the Kerr solution is presented, whose optical geometry is a surface with a Finsler metric of Randers type. Applying the Gauss–Bonnet theorem to a suitable osculating Riemannian manifold, adapted from a construction by Naz?m, it is shown explicitly how the two leading terms of the asymptotic deflection angle of gravitational lensing can be found in this way.