21 “... prime closed geodesics on any compact surface of genus zero, and the 1930/31 solution of Plateau...”

22 “... prime closed geodesics on any compact surface of genus zero, and the 1930/31 solution of Plateau...”

23 “... that have recently found such a spectacular success in the work of Perelman at the examples of closed...”

24 “... on these surfaces, the author develops the analogy between geometry (closed geodesics) and arithmetic (prime numbers...”

25 “... of the parabolic methods that had found a spectacular success in the work of Perelman at the examples of closed...”

26 “... provides applications to the problem of closed geodesics, the theory of submanifolds, and the structure...”

27 “... arcs between, for instance, closed geodesics. Using tools from ergodic theory (including coding...”