Geodesic
The type of minimal branching geodesics defines the norm in a normed space
Fundamentalʹnaâ i prikladnaâ matematika, Tome 18 (2013) no. 2, pp. 67-77
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In this paper, we investigate the inverse problem to the minimal branching geodesic searching problem in a normed space. Let us consider a normed space. Then the form of the minimal branching geodesic is determined. We must find all possible normed spaces with the same form of the minimal branching geodesics as the one in the considered normed space. The case of Euclidean norms is analyzed in detail. 
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I. L. Laut; Z. N. Ovsyannikov. The type of minimal branching geodesics defines the norm in a normed space. Fundamentalʹnaâ i prikladnaâ matematika, Tome 18 (2013) no. 2, pp. 67-77. http://geodesic.mathdoc.fr/item/FPM_2013_18_2_a4/

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