365 citations · 507 across the 2 of their papers we have counts for
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gr-qc2008★ 142 cited
Stationary Metrics and Optical Zermelo-Randers-Finsler Geometry
G. W. Gibbons, C. A. R. Herdeiro, C. M. Warnick +1
We consider a triality between the Zermelo navigation problem, the geodesic flow on a Finslerian geometry of Randers type, and spacetimes in one dimension higher admitting a timeli…
gr-qc2008★ 365 cited
Applications of the Gauss-Bonnet theorem to gravitational lensing
G W Gibbons, M C Werner
In this geometrical approach to gravitational lensing theory, we apply the Gauss-Bonnet theorem to the optical metric of a lens, modelled as a static, spherically symmetric, perfec…