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math.DG2024
Geometry of a Navigation problem: The Funk Finsler Metrics
Newton Solórzano, Víctor León, Alexandre Henrique +1
We investigate the travel time in a navigation problem from a geometric perspective. The setting involves an open subset of the Euclidean plane, representing a lake perturbed by a…
math.DG2022
On Funk's parabolas
Newton Solórzano, Junior Moyses, Víctor León
We study parabolas in the two dimensional unit disk equipped with a Funk metric. Four types of parabolas are obtained, due to the non-reversibility of the Funk metric, each one wit…