Geodesic
Steiner minimal trees in small neighbourhoods of points in Riemannian manifolds
Sbornik. Mathematics, Tome 208 (2017) no. 7, pp. 1049-1072 Cet article a éte moissonné depuis la source Math-Net.Ru

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In contrast to the Euclidean case, almost no Steiner minimal trees with concrete boundaries on Riemannian manifolds are known. A result describing the types of Steiner minimal trees on a Riemannian manifold for arbitrary small boundaries is obtained. As a consequence, it is shown that for sufficiently small regular $n$-gons with $n\geqslant 7$ their boundaries without a longest side are Steiner minimal trees. Bibliography: 22 titles.
Keywords: minimal networks. 
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V. M. Chikin. Steiner minimal trees in small neighbourhoods of points in Riemannian manifolds. Sbornik. Mathematics, Tome 208 (2017) no. 7, pp. 1049-1072. http://geodesic.mathdoc.fr/item/SM_2017_208_7_a5/

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