A typical convex surface contains no closed geodesic.

作者: Peter M. Gruber

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参考文章(1)
Henri Poincar{é, Sur les lignes géodésiques des surfaces convexes Transactions of the American Mathematical Society. ,vol. 6, pp. 237- 274 ,(1905) , 10.1090/S0002-9947-1905-1500710-4