Geodesic Flow on Ideal Polyhedra
Canadian journal of mathematics, Tome 49 (1997) no. 4, pp. 696-707

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

In this work we study the geodesic flow on n-dimensional ideal polyhedra and establish classical (for manifolds of negative curvature) results concerning the distribution of closed orbits of the flow.
DOI : 10.4153/CJM-1997-033-8
Mots-clés : 57M20, 53C23
Charitos, Charalambos; Tsapogas, Georgios. Geodesic Flow on Ideal Polyhedra. Canadian journal of mathematics, Tome 49 (1997) no. 4, pp. 696-707. doi: 10.4153/CJM-1997-033-8
@article{10_4153_CJM_1997_033_8,
     author = {Charitos, Charalambos and Tsapogas, Georgios},
     title = {Geodesic {Flow} on {Ideal} {Polyhedra}},
     journal = {Canadian journal of mathematics},
     pages = {696--707},
     year = {1997},
     volume = {49},
     number = {4},
     doi = {10.4153/CJM-1997-033-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1997-033-8/}
}
TY  - JOUR
AU  - Charitos, Charalambos
AU  - Tsapogas, Georgios
TI  - Geodesic Flow on Ideal Polyhedra
JO  - Canadian journal of mathematics
PY  - 1997
SP  - 696
EP  - 707
VL  - 49
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1997-033-8/
DO  - 10.4153/CJM-1997-033-8
ID  - 10_4153_CJM_1997_033_8
ER  - 
%0 Journal Article
%A Charitos, Charalambos
%A Tsapogas, Georgios
%T Geodesic Flow on Ideal Polyhedra
%J Canadian journal of mathematics
%D 1997
%P 696-707
%V 49
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1997-033-8/
%R 10.4153/CJM-1997-033-8
%F 10_4153_CJM_1997_033_8

[1] 1. Bourdon, M., Structure conforme au bord et flot géodésique d’un CAT(-1) espace. Enseign. Math. 41(1995), 63–102. Google Scholar

[2] 2. Bridson, M., Geodesics and curvature in metric simplicial complexes. In: Group Theory from a Geometrical Viewpoint, ICTP, Trieste, Italy, March 26–April 6, 1990. (eds. Ghys, E., Haefliger, A. and Verjovsky), 1991. 373–463. Google Scholar

[3] 3. Charitos, Ch., Closed geodesics on ideal polyhedra of dimension 2. Rocky Mountain J. Math. (1) 26(1996), 507–521. Google Scholar

[4] 4. Coornaert, M., Sur les groupes proprement discontinus d’isométries des espaces hyperboliques au sens de Gromov, Thèse U.L.P., Publication de l’IRMA. Google Scholar

[5] 5. Coornaert, M., Measures de Patterson-Sullivan sur le bord d’un espace hyperbolique au sens de Gromov. Pacific J. Math. (2) 159(1993), 241–270. Google Scholar

[6] 6. Coornaert, M., Delzant, T. and Papadopoulos, A., Géométrie et théorie des groupes. Lecture Notes in Math. 1441, Springer-Verlag, 1990. Google Scholar

[7] 7. Eberlein, P., Geodesic flows on negatively curved manifolds I. Ann. of Math. 95(1972), 151–170. Google Scholar

[8] 8. Eberlein, P. and O, B.’Neil, Visibility manifolds. Pacific J. Math. 46(1973), 45–109. Google Scholar

[9] 9. Gromov, M., Hyperbolic groups. In: Essays in Group Theory, MSRI Publ. 8, Springer Verlag, 1987. 75–263. Google Scholar

[10] 10. Paulin, F., Constructions of hyperbolic groups via hyperbolization of polyhedra. In: Group Theory from a Geometrical Viewpoint, ICTP, Trieste, Italy, March 26–April 6, 1990. (eds. Ghys, E. and Haefliger, A.), 1991. Google Scholar

[11] 11. Ratcliffe, J., Foundations of hyperbolic geometry, Graduate Texts in Math., Springer-Verlag, 1994. Google Scholar

[12] 12. Thurston, W.P., The Geometry and Topology of Three-manifolds, Lecture Notes, Princeton University, Princeton, New Jersey, 1979. Google Scholar

Cité par Sources :