A unified (η,η̃)-slope Finsler metric, defined implicitly by a quartic equation, solves time-minimal navigation on slippery slopes under gravity and generalizes the Matsumoto and Zermelo problems.
Nonlinear Anal
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A general model for time-minimizing navigation on a mountain slope under gravity
A unified (η,η̃)-slope Finsler metric, defined implicitly by a quartic equation, solves time-minimal navigation on slippery slopes under gravity and generalizes the Matsumoto and Zermelo problems.