Abstract
This paper is devoted to a study of geodesics of Finsler metrics via Zermelo navigation. We give a geometric description of the geodesics of the Finsler metric produced fromanyFinsler metric andanyhomothetic field in terms of navigation representation, generalizing a result previously only known in the case of Randers metrics with constantSS-curvature. As its application, we present explicitly the geodesics of the Funk metric on a strongly convex domain.
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