Geodesic
Estimates for the Steiner–Gromov ratio of Riemannian manifolds
Fundamentalʹnaâ i prikladnaâ matematika, Tome 18 (2013) no. 2, pp. 119-124 
V. A. Mishchenko. Estimates for the Steiner–Gromov ratio of Riemannian manifolds. Fundamentalʹnaâ i prikladnaâ matematika, Tome 18 (2013) no. 2, pp. 119-124. http://geodesic.mathdoc.fr/item/FPM_2013_18_2_a8/
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     title = {Estimates for the {Steiner{\textendash}Gromov} ratio of {Riemannian} manifolds},
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Voir la notice de l'article provenant de la source Math-Net.Ru

The Steiner–Gromov ratio of a metric space $X$ characterizes the ratio of the minimal filling weight to the minimal spanning tree length for a finite subset of $X$. It is proved that the Steiner–Gromov ratio of an arbitrary Riemannian manifold does not exceed the Steiner–Gromov ratio of the Euclidean space of the same dimension.

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