On Finsler spaces whose geodesics are conic sections
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On Finsler spaces whose geodesics are conic sections

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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:
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53B40