Geodesic
Examples of Finsler metrics without conjugate points: metrics of rotation
Algebra i analiz, Tome 20 (2008) no. 3, pp. 47-73.

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A large class of Finsler metric without conjugate points on the torus that are far away from flat metrics is constructed.
Keywords: Hopf hypothesis, flat Finsler metrics, metric of revolution. 
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N. Zinov'ev. Examples of Finsler metrics without conjugate points: metrics of rotation. Algebra i analiz, Tome 20 (2008) no. 3, pp. 47-73. http://geodesic.mathdoc.fr/item/AA_2008_20_3_a2/

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