Geodesic
Classes of convex sets as generalized metrical spaces
Matematičeskie zametki, Tome 4 (1968) no. 1, pp. 45-52 
V. A. Sorokin. Classes of convex sets as generalized metrical spaces. Matematičeskie zametki, Tome 4 (1968) no. 1, pp. 45-52. http://geodesic.mathdoc.fr/item/MZM_1968_4_1_a5/
@article{MZM_1968_4_1_a5,
     author = {V. A. Sorokin},
     title = {Classes of convex sets as generalized metrical spaces},
     journal = {Matemati\v{c}eskie zametki},
     pages = {45--52},
     year = {1968},
     volume = {4},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1968_4_1_a5/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The metrization of classes of convex bodies is generalized to a Minkowski space with unsymmetric metric.