A geometric criterion for hyperbolicity of flows
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- by R. C. Churchill, John Franke and James Selgrade
- Proc. Amer. Math. Soc. 62 (1977), 137-143
- DOI: https://doi.org/10.1090/S0002-9939-1977-0428358-5
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Abstract:
A chain recurrent set for a flow on a compact manifold is hyperbolic if and only if it is quasi-hyperbolic. This result gives an easy proof that the geodesic flow on a compact manifold of negative curvature is hyperbolic.References
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Bibliographic Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 62 (1977), 137-143
- MSC: Primary 58F15; Secondary 34C35
- DOI: https://doi.org/10.1090/S0002-9939-1977-0428358-5
- MathSciNet review: 0428358