Homology of closed orbits of Anosov flows
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- by J. F. Plante
- Proc. Amer. Math. Soc. 37 (1973), 297-300
- DOI: https://doi.org/10.1090/S0002-9939-1973-0310927-0
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Abstract:
It is shown that for a volume preserving Anosov flow on a compact manifold the closed orbits span the first homology (with real coefficients). The proof uses the notion of asymptotic cycles and results concerning the space of invariant measures for hyperbolic flows.References
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Bibliographic Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 37 (1973), 297-300
- MSC: Primary 58F15
- DOI: https://doi.org/10.1090/S0002-9939-1973-0310927-0
- MathSciNet review: 0310927