Matsumoto, Makoto Two-dimensional Finsler spaces whose geodesics constitute a family of special conic sections. (English) Zbl 0853.53050 J. Math. Kyoto Univ. 35, No. 3, 357-376 (1995). In this paper the author gives a geometrical development of his two preceding papers [J. Math. Kyoto Univ. 29, No. 3, 489-496 (1989; Zbl 0696.53019) and Math. Comput. Modelling 20, No. 4-5, 1-23 (1994; Zbl 0812.53022)]. He finds Finsler spaces which have given families of semicircles or parabolas or hyperbolas on the semiplane as geodesics. Reviewer: P.Tamia-Dimopoulou (Thessaloniki) Cited in 2 ReviewsCited in 2 Documents MSC: 53C60 Global differential geometry of Finsler spaces and generalizations (areal metrics) Keywords:two-dimensional Finsler spaces; families of conics; geodesics Citations:Zbl 0696.53019; Zbl 0812.53022 PDFBibTeX XMLCite \textit{M. Matsumoto}, J. Math. Kyoto Univ. 35, No. 3, 357--376 (1995; Zbl 0853.53050) Full Text: DOI