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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…
math.DS2022
On real center singularities of complex vector fields on surfaces
V. León, B. Scárdua
One of the various versions of the classical Lyapunov-Poincaré center theorem states that a nondegenerate real analytic center type planar vector field singularity admits an analyt…
math.DG2022★ 4 cited
On cylindrical symmetric projectively flat Finsler metrics
Newton Solórzano, Víctor León
We study the cylindrical symmetric Finsler metrics. We obtain the system of differential equations of such metrics which are projectively flat. We give a family of solutions of thi…