Reference Request: Klingenberg's Lectures on closed geodesics $§4.3.4$

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Would anyone be able to provide Klingenberg's claimed proof in his "Lectures on closed geodesics" of the existence of infinitely many prime closed geodesics on any closed simply connected Riemannian manifold (contingent on the divisibility lemma). I believe it is around $§4.3.4$ in his book.



Thanks in advance!




reference-request geodesic loop-spaces




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    Would anyone be able to provide Klingenberg's claimed proof in his "Lectures on closed geodesics" of the existence of infinitely many prime closed geodesics on any closed simply connected Riemannian manifold (contingent on the divisibility lemma). I believe it is around $§4.3.4$ in his book.



    Thanks in advance!




    reference-request geodesic loop-spaces




    share|cite|improve this question























      up vote
      1
      down vote

      favorite









      up vote
      1
      down vote

      favorite











      Would anyone be able to provide Klingenberg's claimed proof in his "Lectures on closed geodesics" of the existence of infinitely many prime closed geodesics on any closed simply connected Riemannian manifold (contingent on the divisibility lemma). I believe it is around $§4.3.4$ in his book.



      Thanks in advance!




      reference-request geodesic loop-spaces




      share|cite|improve this question













      Would anyone be able to provide Klingenberg's claimed proof in his "Lectures on closed geodesics" of the existence of infinitely many prime closed geodesics on any closed simply connected Riemannian manifold (contingent on the divisibility lemma). I believe it is around $§4.3.4$ in his book.



      Thanks in advance!





      reference-request geodesic loop-spaces





      share|cite|improve this question












      share|cite|improve this question




      share|cite|improve this question








      edited Jul 23 at 18:49
























      asked Jul 23 at 18:39









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