Geodesic
Generalized Fermat's Problem
Canadian mathematical bulletin, Tome 34 (1991) no. 1, pp. 96-104

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

The following problem is studied. Generalized Fermat's problem: in an n-dimensional Hadamard manifold M, locate a point whose distances from the given k vertices of M have the smallest possible sum.
DOI : 10.4153/CMB-1991-015-9
Mots-clés : 53A99, 52A20 
Noda, R.; Sakai, T.; Morimoto, M. Generalized Fermat's Problem. Canadian mathematical bulletin, Tome 34 (1991) no. 1, pp. 96-104. doi: 10.4153/CMB-1991-015-9
@article{10_4153_CMB_1991_015_9,
     author = {Noda, R. and Sakai, T. and Morimoto, M.},
     title = {Generalized {Fermat's} {Problem}},
     journal = {Canadian mathematical bulletin},
     pages = {96--104},
     year = {1991},
     volume = {34},
     number = {1},
     doi = {10.4153/CMB-1991-015-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1991-015-9/}
}
TY  - JOUR
AU  - Noda, R.
AU  - Sakai, T.
AU  - Morimoto, M.
TI  - Generalized Fermat's Problem
JO  - Canadian mathematical bulletin
PY  - 1991
SP  - 96
EP  - 104
VL  - 34
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1991-015-9/
DO  - 10.4153/CMB-1991-015-9
ID  - 10_4153_CMB_1991_015_9
ER  - 
%0 Journal Article
%A Noda, R.
%A Sakai, T.
%A Morimoto, M.
%T Generalized Fermat's Problem
%J Canadian mathematical bulletin
%D 1991
%P 96-104
%V 34
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1991-015-9/
%R 10.4153/CMB-1991-015-9
%F 10_4153_CMB_1991_015_9

[1] 1. Berger, M., Gauduchon, P. and Mazet, E., Le spectre d'une variété riemannienne. Lecture Notes in Math. 194 Springer, Berlin-Heidelberg-New York, 1971. Google Scholar

[2] 2. Ballmann, W., Gromov, M. and Schroeder, V., Manifolds of nonpositive curvature, Progress in Math. 61 (1985). Google Scholar

[3] 3. Cheeger, J. and Ebin, D. G., Comparison theorem in Riemannian geometry. North-Holland, Amsterdam- Oxford, American Elsevier, New York, 1975. Google Scholar

[4] 4. Coxeter, H. S. M., Introduction to geometry. John Wiley and Sons Inc., New York, 1965. Google Scholar

[5] 5. Hokari, S., Plane and spherical trigonometry (Japanese). Kyoritsu Shuppan, Tokyo, 1955. Google Scholar

[6] 6. Hokari, S., Izumi, S., Kondo, M. and Nagakura, T., Mathematical formulae (Japanese). Kyoritsu Shuppan, Tokyo, 1969. Google Scholar

[7] 7. Tanno, S., Differential geometry of manifolds (Japanese). Jikkyo Shuppan, Tokyo, 1976. Google Scholar

Cité par Sources :