The second closed geodesic, the fundamental group, and generic finsler metrics

HIGHLIGHTS

  • who: Hans-Bert Rademacher from the Mathematisches Institut, Universität Leipzig, Leipzig, Germany have published the research work: The second closed geodesic, the fundamental group, and generic Finsler metrics, in the Journal: (JOURNAL)
  • what: The authors show a bumpy metrics theorem for metrics and prove that a C 4 on a compact and simply-connected manifold carries infinitely many geodesics. The authors investigate which topological assumptions imply the existence of at least two geometrically distinct and non-contractible closed geodesics for compact manifolds with infinite fundamental group. For Finsler metrics corresponding genericity statements hold as . . .

     

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