Geodesic
Closed geodesics, asymptotic volume, and characteristics of group growth
Izvestiya. Mathematics , Tome 33 (1989) no. 1, pp. 1-37.

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A function $N_g(t)$ equal to the number of closed geodesics of length not greater than $t$ is considered on the Riemannian manifold $(M,g)$. Also considered are related questions on the behavior of the volume function for a geodesic ball on the universal covering manifold. Bibliography: 20 titles. 
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I. K. Babenko. Closed geodesics, asymptotic volume, and characteristics of group growth. Izvestiya. Mathematics , Tome 33 (1989) no. 1, pp. 1-37. http://geodesic.mathdoc.fr/item/IM2_1989_33_1_a0/

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