Geodesic
Some Properties of Anosov Flows
Canadian journal of mathematics, Tome 24 (1972) no. 6, pp. 1114-1121

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Anosov flows are a generalization of geodesic flows on the unit tangent bundles of compact manifolds of negative sectional curvature. They were introduced and are dealt with at length by Anosov in [2]. Moreover they form an important class of examples of flows satisfying Smale's axioms A and B (see [15]). In that paper Smale poses the problem of determining which manifolds admit Anosov flows. In this paper we obtain information about the fundamental groups of such manifolds. These generalize results which have been obtained for the fundamental groups of manifolds of negative curvature (see Preissmann [13], Byers [6]). 
Byers, W. Some Properties of Anosov Flows. Canadian journal of mathematics, Tome 24 (1972) no. 6, pp. 1114-1121. doi: 10.4153/CJM-1972-116-3
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