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Closed geodesics with local homology in maximal degree on non-compact manifolds

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 نشر من قبل Marco Mazzucchelli
 تاريخ النشر 2017
  مجال البحث
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We show that, on a complete and possibly non-compact Riemannian manifold of dimension at least 2 without close conjugate points at infinity, the existence of a closed geodesic with local homology in maximal degree and maximal index growth under iteration forces the existence of infinitely many closed geodesics. For closed manifolds, this was a theorem due to Hingston.



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