Knieper, Gerhard Das Wachstum der Äquivalenzklassen geschlossener Geodätischer in kompakten Mannigfaltigkeiten. (German) Zbl 0504.53041 Arch. Math. 40, 559-568 (1983). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 14 Documents MSC: 53C22 Geodesics in global differential geometry 37D40 Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) 53D25 Geodesic flows in symplectic geometry and contact geometry Keywords:closed geodesics; nonpositive curvature; topological entropy; geodesic flow × Cite Format Result Cite Review PDF Full Text: DOI References: [1] A. Avez, Vari?t?s riemanniennes sans points focaux. C. R. Acad. Sc. Paris270, 188-191 (1970). · Zbl 0188.26402 [2] W.Ballmann, Einige neue Resultate ?ber Mannigfaltigkeiten nichtpositiver Kr?mmung. Bonner math. Schriften113 (1978). [3] R. Bowen, Periodic orbits for hyperbolic flows. Amer. J. Math.94, 1-30 (1972). · Zbl 0254.58005 · doi:10.2307/2373590 [4] P. Eberlein andB. O’Neill, Visibility manifolds. Pacific J. Math.46, 45-109 (1973). · Zbl 0264.53026 [5] A. Manning, Topological entropy for geodesic flows. Ann. Math.110, 567-573 (1979). · Zbl 0426.58016 · doi:10.2307/1971239 [6] G. A. Margulis, Applications of ergodic theory to the investigation of manifolds of negativ curvature. Funct. Anal. Appl.3, 335-336 (1969). · Zbl 0207.20305 · doi:10.1007/BF01076325 [7] Ya. G. Sinai, The asymptotic behavior of a number of closed geodesics of a compact manifold of negative curvature. Amer. Math. Soc. Transl. (2)73, 229-250 (1968). · Zbl 0187.43303 [8] J. J. O’Sullivan, Manifolds without conjugate points. Math. Ann.210, 295-311 (1974). · doi:10.1007/BF01434284 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.