Journal of Differential Geometry

When is a geodesic flow of Anosov type? I

Patrick Eberlein
Source: J. Differential Geom. Volume 8, Number 3 (1973), 437-463.
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Primary Subjects: 58F15
Secondary Subjects: 53C30
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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.jdg/1214431801
Mathematical Reviews number (MathSciNet): MR0380891
Zentralblatt MATH identifier: 0285.58008

References

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Zentralblatt MATH: 0176.19101
Mathematical Reviews (MathSciNet): MR242194
[2] R. L. Bishop and R. J. Crittenden, Geometry of manifolds, Academic Press, New York, 1964, 220-226.
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Mathematical Reviews (MathSciNet): MR169148
[3] R. L. Bishop and B. O'Neill, Manifolds of negative curvature, Trans. Amer. Math. Soc. 145 (1969) 1-49.
Zentralblatt MATH: 0191.52002
Mathematical Reviews (MathSciNet): MR251664
Digital Object Identifier: doi:10.2307/1995057
[4] L. W. Green, Geodesic instability, Proc. Amer. Math. Soc. 7 (1956) 438-448.
Zentralblatt MATH: 0075.17202
Mathematical Reviews (MathSciNet): MR79804
Digital Object Identifier: doi:10.2307/2032752
[5] L. W. Green, Geodesic instability, Surfaces without conjugate points, Trans. Amer. Math. Soc. 76 (1954) 529-546.
Zentralblatt MATH: 0058.37303
Mathematical Reviews (MathSciNet): MR63097
Digital Object Identifier: doi:10.2307/1990794
[6] L. W. Green, Geodesic instability, A theorem of E. Hopf, Michigan Math. J. 5 (1958) 31-34.
Zentralblatt MATH: 0134.39601
Mathematical Reviews (MathSciNet): MR97833
Digital Object Identifier: doi:10.1307/mmj/1028998009
Project Euclid: euclid.mmj/1028998009
[7] D. Gromoll, W. Klingenberg and W. Meyer, Riemannsche Geometrie im Grossen, Lecture Notes in Math. Vol. 55, Springer, Berlin, 1968, 43-46.
Zentralblatt MATH: 0155.30701
Mathematical Reviews (MathSciNet): MR229177
[8] P. Hartman, Ordinary differential equations, Wiley, New York, 1964, 384-396.
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Mathematical Reviews (MathSciNet): MR171038
[9] E. Hopf, Closed surfaces without conjugate points, Proc. Nat. Acad. Sci. U.S.A. 34 (1948) 47-51.
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Digital Object Identifier: doi:10.1073/pnas.34.2.47
[10] W. Klingenberg, Riemannian manifolds with geodesic flow of Anosov type, preprint, Bonn, 1970.
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Mathematical Reviews (MathSciNet): MR377980
Digital Object Identifier: doi:10.2307/1971011

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Journal of Differential Geometry

Journal of Differential Geometry

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