On Finsler spaces whose geodesics are conic sections
On Finsler spaces whose geodesics are conic sections
Z. Kov cs
In \cite{matsu:conic} M. Matsumoto constructed Finsler metrics whose
geodesics are
two-parameter families of conic sections: semicircles, parabolas and
hyperbolas. In this paper another two-parameter family $\mathcal{C}$ of
conic sections is given that contains confocal hyperbolas and ellipses.
We also construct Finsler spaces whose family of geodesics is the family
$\mathcal{C}$.
Mathematics Subject Classification:
53B40