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Volumn 17, Issue 5, 1997, Pages 1043-1059

Counting geodesics on a Riemannian manifold and topological entropy of geodesic flows

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EID: 0039054224     PISSN: 01433857     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0143385797086331     Document Type: Article
Times cited : (6)

References (15)
  • 1
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    • Sur les variétés à courbure strictement positive
    • M. Berger and R. Bott. Sur les variétés à courbure strictement positive. Topology 1 (1962), 302-311.
    • (1962) Topology , vol.1 , pp. 302-311
    • Berger, M.1    Bott, R.2
  • 4
    • 0001406958 scopus 로고
    • On the entropy of the geodesic flow in manifolds without conjugate points
    • A. Freire and R. Mañé. On the entropy of the geodesic flow in manifolds without conjugate points. Invent. Math. 69 (1982), 375-392.
    • (1982) Invent. Math. , vol.69 , pp. 375-392
    • Freire, A.1    Mañé, R.2
  • 5
    • 0001223694 scopus 로고
    • Entropy, homology and semialgebraic geometry
    • M. Gromov. Entropy, homology and semialgebraic geometry. Séminaire Bourbaki 38éme année 663 (1985-86), 225-240.
    • (1985) Séminaire Bourbaki 38éme Année , vol.663 , pp. 225-240
    • Gromov, M.1
  • 6
    • 84972496580 scopus 로고
    • Homotopical effects of dilatation
    • M. Gromov. Homotopical effects of dilatation. J. Diff. Geom. 13 (1978), 303-310.
    • (1978) J. Diff. Geom. , vol.13 , pp. 303-310
    • Gromov, M.1
  • 7
    • 0030635296 scopus 로고    scopus 로고
    • On the topological entropy of geodesic flows
    • R. Mañé. On the topological entropy of geodesic flows. J. Diff. Geom. 45 (1997), 74-93.
    • (1997) J. Diff. Geom. , vol.45 , pp. 74-93
    • Mañé, R.1
  • 8
    • 0001472050 scopus 로고
    • Topological entropy for geodesic flows
    • A. Manning. Topological entropy for geodesic flows. Ann. Math. 110 (1979), 567-573.
    • (1979) Ann. Math. , vol.110 , pp. 567-573
    • Manning, A.1
  • 11
    • 0001685281 scopus 로고
    • Continuity properties of entropy
    • S. E. Newhouse. Continuity properties of entropy. Ann. Math. 129 (1989), 215-235.
    • (1989) Ann. Math. , vol.129 , pp. 215-235
    • Newhouse, S.E.1
  • 12
    • 84971947070 scopus 로고
    • On the topology of manifolds with completely integrable geodesic flows
    • G. P. Paternain. On the topology of manifolds with completely integrable geodesic flows. Ergod. Th. & Dynam. Sys. 12 (1992), 109-121.
    • (1992) Ergod. Th. & Dynam. Sys. , vol.12 , pp. 109-121
    • Paternain, G.P.1
  • 13
    • 85033097519 scopus 로고    scopus 로고
    • Topological entropy for geodesic flows on fibre bundles over rationally hyperbolic manifolds
    • G. P. Paternain. Topological entropy for geodesic flows on fibre bundles over rationally hyperbolic manifolds. To appear in Proc. Amer. Math. Soc.
    • Proc. Amer. Math. Soc.
    • Paternain, G.P.1
  • 14
    • 0000854482 scopus 로고
    • Topological entropy versus geodesic entropy
    • G. P. Paternain and M. Paternain. Topological entropy versus geodesic entropy. Int. J. Math. 2 (1994), 213-218.
    • (1994) Int. J. Math. , vol.2 , pp. 213-218
    • Paternain, G.P.1    Paternain, M.2
  • 15
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    • Volume growth and entropy
    • Y. Yomdin. Volume growth and entropy. Israel J. Math. 57 (1987), 287-300.
    • (1987) Israel J. Math. , vol.57 , pp. 287-300
    • Yomdin, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.