This is a preview of subscription content, log in via an institution to check access.
References
A. Avez, Variétés riemanniennes sans points focaux. C. R. Acad. Sci. Paris Sér. I Math.270, 191–199 (1970).
W. Ballmann, M. Brin andK. Burns, On surfaces with no conjugate points. J. Differential Geom.25, 249–273 (1987).
W.Ballmann, M.Oromov and V.Schroeder, Manifolds of nonnegative curvature. Bostoa-Basel-Stuttgart 1985.
H.Busemann, The geometry of geodesies. New York 1955.
P.Eberlein, Busemann functions areC 2. Unpublished.
P. Eberlein, When is a geodesic flow of Anosov type? I. J. Differential Geom.8, 437–463 (1973).
P. Eberlein andB. O'Neil, Visibility manifolds. Pacific I Math.46, 45–109 (1973).
J. Eschenburg, Horospheres and the stable part of the geodesic flow. Math. Z.153, 237–251 (1977).
J. Eschenburg andJ. O'Sullivan, Growth of Jacobi fields and divergence of geodesies. Math. Z.150, 221–237 (1976).
L. Green, Geodesic instability. Proc. Amer. Math. Soc.7, 438–448 (1956).
L. Green, A theorem of E. Hopf. Michigan Math. J.5, 31–34 (1958).
M. Gromov, Hyperbolic manifolds, groups and actions. In: Riemann Surfaces and Related Topics, Stony Brook Conference. Ann. of Math. Stud.97, 183–213 (1981).
E. Heintze andH. Im Hof, Geometry of horospheres. J. Differential Geom.12, 481–491 (1977).
E. Hopf, Closed surfaces without conjugate points. Proc. Nat. Acad. Sci. U.S.A.34, 47–51 (1948).
J.Yim, Convexity of the ideal boundary for complete open surfaces. Proc. Amer. Math. Soc., to appear.
Author information
Authors and Affiliations
Additional information
This research was partially supported by GARC-KOSEF.
Rights and permissions
About this article
Cite this article
Yim, JW. Asymptotic behavior of manifolds without conjugate points. Arch. Math 64, 163–169 (1995). https://doi.org/10.1007/BF01196638
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01196638