Geodesic
On the Steiner Problem
Canadian mathematical bulletin, Tome 10 (1967) no. 3, pp. 431-450

Voir la notice de l'article provenant de la source Cambridge University Press

Let M be a metric space with metric ρ which has the following properties.1. M is finitely compact.2. There exists a geodesic in M joining each two points of M.3. For all a, b∈M, ρ(a, b) is equal to the length of a geodesic joining a and b. 
Cockayne, E. J. On the Steiner Problem. Canadian mathematical bulletin, Tome 10 (1967) no. 3, pp. 431-450. doi: 10.4153/CMB-1967-041-8
@article{10_4153_CMB_1967_041_8,
     author = {Cockayne, E. J.},
     title = {On the {Steiner} {Problem}},
     journal = {Canadian mathematical bulletin},
     pages = {431--450},
     year = {1967},
     volume = {10},
     number = {3},
     doi = {10.4153/CMB-1967-041-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1967-041-8/}
}
TY  - JOUR
AU  - Cockayne, E. J.
TI  - On the Steiner Problem
JO  - Canadian mathematical bulletin
PY  - 1967
SP  - 431
EP  - 450
VL  - 10
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1967-041-8/
DO  - 10.4153/CMB-1967-041-8
ID  - 10_4153_CMB_1967_041_8
ER  - 
%0 Journal Article
%A Cockayne, E. J.
%T On the Steiner Problem
%J Canadian mathematical bulletin
%D 1967
%P 431-450
%V 10
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1967-041-8/
%R 10.4153/CMB-1967-041-8
%F 10_4153_CMB_1967_041_8

[1] 1. Melzak, Z. A., On the Problem of Steiner. Canadian Mathematical Bulletin. Vol. 4,(1966), pp. 143-148. Google Scholar

[2] 2. Courant, R. and Robbins, H., What is Mathematics? (New York 1941). Google Scholar

[3] 3. Prim, R. C., Shortest Connecting Networks. Bell System Tech. Journal 31, pp. 1398-1401. Google Scholar

[4] 4. Wetherburn, C. E., Differential Geometry of Three Dimensions. (Cambridge 1947). Google Scholar

[5] 5. Blumenthal, L. M., Theory and Applications of Distance Geometry. (Oxford 1953). Google Scholar

[6] 6. Hanan, M., On the Steiner Problem with Rectilinear Distance. S. I. A. M. Journal of Applied Mathematics. vol. 14 (1966), pp. Z55-265. Google Scholar

Cité par Sources :