Geodesic
On the divergence of geodesic rays in manifolds without conjugate points, dynamics of the geodesic flow and global geometry
Geometric methods in dynamics (II) : Volume in honor of Jacob Palis, Astérisque, no. 287 (2003), pp. 231-249

Voir la notice du chapitre de livre provenant de la source Numdam

MR Zbl 
Ruggiero, Rafael Oswaldo. On the divergence of geodesic rays in manifolds without conjugate points, dynamics of the geodesic flow and global geometry, dans Geometric methods in dynamics (II) : Volume in honor of Jacob Palis, Astérisque, no. 287 (2003), pp. 231-249. http://geodesic.mathdoc.fr/item/AST_2003__287__231_0/
@incollection{AST_2003__287__231_0,
     author = {Ruggiero, Rafael Oswaldo},
     title = {On the divergence of geodesic rays in manifolds without conjugate points, dynamics of the geodesic flow and global geometry},
     booktitle = {Geometric methods in dynamics (II) : Volume in honor of Jacob Palis},
     editor = {de Melo, Wellington and Viana, Marcelo and Yoccoz, Jean-Christophe},
     series = {Ast\'erisque},
     pages = {231--249},
     year = {2003},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {287},
     mrnumber = {2040007},
     zbl = {1054.37010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/AST_2003__287__231_0/}
}
TY  - CHAP
AU  - Ruggiero, Rafael Oswaldo
TI  - On the divergence of geodesic rays in manifolds without conjugate points, dynamics of the geodesic flow and global geometry
BT  - Geometric methods in dynamics (II) : Volume in honor of Jacob Palis
AU  - Collectif
ED  - de Melo, Wellington
ED  - Viana, Marcelo
ED  - Yoccoz, Jean-Christophe
T3  - Astérisque
PY  - 2003
SP  - 231
EP  - 249
IS  - 287
PB  - Société mathématique de France
UR  - http://geodesic.mathdoc.fr/item/AST_2003__287__231_0/
LA  - en
ID  - AST_2003__287__231_0
ER  - 
%0 Book Section
%A Ruggiero, Rafael Oswaldo
%T On the divergence of geodesic rays in manifolds without conjugate points, dynamics of the geodesic flow and global geometry
%B Geometric methods in dynamics (II) : Volume in honor of Jacob Palis
%A Collectif
%E de Melo, Wellington
%E Viana, Marcelo
%E Yoccoz, Jean-Christophe
%S Astérisque
%D 2003
%P 231-249
%N 287
%I Société mathématique de France
%U http://geodesic.mathdoc.fr/item/AST_2003__287__231_0/
%G en
%F AST_2003__287__231_0

[1] Ballmann, W., Brin, M., Burns, K.: On surfaces with no conjugate points. J. Diff. Geom. 25 (1987), 249-273. | MR | Zbl | DOI

[2] Ballman, W., Gromov, M., Schroeder, V.: Manifolds of Non-positive curvature. Boston, Birkhausser 1985. | MR | Zbl | DOI

[3] Busemann, H.: The geometry of geodesics. New York, Academic Press. 1955. | MR | Zbl

[4] Croke, C., Schroeder, V.: The fundamental group of manifolds without conjugate points. Comm. Math. Helv. 61 (1986) 161-175. | MR | Zbl | EuDML | DOI

[5] Eberlein, P.: Geodesic flows in certain manifolds with no conjugate points. Trans. Amer. Math. Soc. 167 (1972) 151-170. | MR | Zbl | DOI

[6] Eberlein, P.: When is a geodesic flow of Anosov type I. J. Differ. Geom. 8 (1973), 437-463. | MR | Zbl | DOI

[7] Eberlein, P., O'Neill, B.: Visibility manifolds. Pacific Journal of Math. 46, 1 (1973), 45-109. | MR | Zbl | DOI

[8] Eschenburg, J.-H.: Horospheres and the stable part of the geodesic flow. Math. Z. 153 (1977), 237-251. | MR | Zbl | EuDML | DOI

[9] Freire, A., Mañé, R.: On the entropy of the geodesic flow in manifolds without conjugate points. Inv. Math. 69 (1982), 375-392. | MR | Zbl | EuDML | DOI

[10] Ghys, E., De La Harpe, P.: Sur les groupes hyperboliques d'apres M. Gromov. Progress in Math. 83 Birkhausser. | Zbl | MR

[11] Green, L.: Geodesic instability. Proc. Amer. Math. Soc. 7 (1956), 438-448. | MR | Zbl | DOI

[12] Gromov, M.: Hyperbolic Groups. Essays in Group Theory 8, 75-264 S. M. Gersten Editor, Springer-Verlag. | MR | Zbl | DOI

[13] Gromov, M.: Geometric group theory. Volume 2: Asymptotic invariants of infinite groups. London Math. Society Lecture Notes Series 182, G. Niblo and M. Roller editons, Cambridge University Press 1993. | MR | Zbl

[14] Knieper, G.: Mannifaltigkeiten ohne konjugierte Punkte. Bonner Mathematische Schriften 168 (1986). | MR | Zbl

[15] Morse, H. M.: A fundamental class of geodesics on any closed surface of genus greater than one. Trans. Amer. Math. Soc. 26 (1924), 25-60. | MR | JFM | DOI

[16] Pesin, Ja. B.: Geodesic flows on closed Riemannian manifolds without focal points. Math. USSR Izvestija, Vol 11, 6 (1977). | Zbl

[17] Ruggiero R.: Expansive Dynamics and Hyperbolic Geometry. Bol. Soc. Brasil. Mat. 25 (1994), 139-172. | MR | Zbl | DOI

[18] Ruggiero, R.: Expansive geodesic flows in manifolds without conjugate points. Ergod. Th. Dynam. Sys. 17 (1997), 211-225. | MR | Zbl | DOI

[19] Ruggiero, R.: Weak stability of the geodesic flow and Preissmann's theorem. Ergod. Th. Dynam. Sys. 20 (2000), 1231-1251. | MR | Zbl | DOI