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Two-dimensional Finsler spaces whose geodesics constitute a family of special conic sections. (English) Zbl 0853.53050

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.

MSC:

53C60 Global differential geometry of Finsler spaces and generalizations (areal metrics)
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