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Axiom a systems without sinks and sources on $n$manifolds
Growth of the number of geodesics between points and insecurity for Riemannian manifolds
1.  Department of Mathematics, Northwestern University, Evanston, IL 602082730 
2.  IMPA, Estrada Dona Castorina 110, Rio de Janeiro 22460320, Brazil 
We derive from this that a compact Riemannian manifold with no conjugate points whose geodesic flow has positive topological entropy is totally insecure: the geodesics between any pair of points cannot be blocked by a finite number of point obstacles.
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