Abstract
Soit M une variete de Riemann compacte dont le flot geodesique sur le fibre tangent unite est de type Anosov. Si on note par N(x, α) le nombre de geodesiques premieres P dans M dont la classe d'homologie est un α donne et de longueur l(p)≤x, alors le taux de croissance exponentiel, lim x→∞ x a1 log N(x, α) est egal a l'entropie topologique h du flot geodesique (>0)
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