Closed orbits of an Anosov flow and the fundamental group

Author:
Toshiaki Adachi

Journal:
Proc. Amer. Math. Soc. **100** (1987), 595-598

MSC:
Primary 58F15; Secondary 58F22

MathSciNet review:
891171

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Abstract | References | Similar Articles | Additional Information

Abstract: We show that closed orbits of a transitive Anosov flow generate the fundamental group of the base manifold.

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DOI:
https://doi.org/10.1090/S0002-9939-1987-0891171-5

Keywords:
Anosov flow,
closed orbit,
fundamental group,
oriented graph

Article copyright:
© Copyright 1987
American Mathematical Society