Geodesic
Geodesic uniqueness in the whole of some generally recurrent Riemannian spaces
Fundamentalʹnaâ i prikladnaâ matematika, Tome 16 (2010) no. 2, pp. 93-101

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In this paper, we present a detailed proofs of two theorems of geodesic uniqueness in the whole of compact, in some sense generally recurrent, Riemannian spaces with a positive defined metric. Our studies are based on the H. Hopf theorem. 
@article{FPM_2010_16_2_a9,
     author = {H. N. Sinyukova},
     title = {Geodesic uniqueness in the whole of some generally recurrent {Riemannian} spaces},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {93--101},
     publisher = {mathdoc},
     volume = {16},
     number = {2},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2010_16_2_a9/}
}
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H. N. Sinyukova. Geodesic uniqueness in the whole of some generally recurrent Riemannian spaces. Fundamentalʹnaâ i prikladnaâ matematika, Tome 16 (2010) no. 2, pp. 93-101. http://geodesic.mathdoc.fr/item/FPM_2010_16_2_a9/