3 papers
math.DG2026
Superwind and navigation of least time on Riemannian manifolds
Nicoleta Aldea, Piotr Kopacz
In this work, minimum-time navigation on Riemannian manifolds is analyzed by means of Finsler geometry. The introduced notion of a superwind being anisotropic, reducible, and unkno…
math.DG2025
A general model for time-minimizing navigation on a mountain slope under gravity
Nicoleta Aldea, Piotr Kopacz
In this work, we solve the generalized Matsumoto's slope-of-a-mountain problem by means of Riemann-Finsler geometry, making close links with the Zermelo navigation problem. The tim…
math.DG2024
Time geodesics on a slippery cross slope under gravitational wind
Nicoleta Aldea, Piotr Kopacz
In this work, we pose and solve the time-optimal navigation problem considered on a slippery mountain slope modeled by a Riemannian manifold of an arbitrary dimension, under the ac…