Geodesic
A typical convex surface contains no closed geodesic.
Journal für die reine und angewandte Mathematik, Tome 416 (1991), pp. 195-206.

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Mots-clés : intrinsic geometry of convex surfaces, no closed geodesic 
@article{JRAM_1991__416_153320,
     author = {Peter M. Gruber},
     title = {A typical convex surface contains no closed geodesic.},
     journal = {Journal f\"ur die reine und angewandte Mathematik},
     pages = {195--206},
     publisher = {mathdoc},
     volume = {416},
     year = {1991},
     zbl = {0718.52003},
     url = {http://geodesic.mathdoc.fr/item/JRAM_1991__416_153320/}
}
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Peter M. Gruber. A typical convex surface contains no closed geodesic.. Journal für die reine und angewandte Mathematik, Tome 416 (1991), pp. 195-206. http://geodesic.mathdoc.fr/item/JRAM_1991__416_153320/