17 citations · 26 across the 7 of their papers we have counts for
9 papers
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…
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…
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…
Generalized Zermelo navigation on Hermitian manifolds under mild wind
Nicoleta Aldea, Piotr Kopacz
We generalize and study the Zermelo navigation problem on Hermitian manifolds in the presence of a perturbation determined by a mild complex velocity vector field $||W(z)||_h<|…
Recent results on complex Cartan spaces
Nicoleta Aldea, Gheorghe Munteanu
In this paper, we first provide an updated survey of the geometry of complex Cartan spaces. New characterizations for some particular classes of complex Cartan spaces are pointed o…
On projective invariants of the complex Finsler spaces
Nicoleta Aldea, Gheorghe Munteanu
In this paper the projective curvature invariants of a complex Finsler space are obtained. By means of these invariants the notion of complex Douglas space is then defined. A speci…