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arXiv · 0901.3804

On closed geodesics in the leaf spaces of singular Riemannian foliations

Marcos M. Alexandrino·Miguel Angel Javaloyes
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Abstract

In this paper we survey on some recent results on Riemannian orbifolds and singular Riemannian foliations and combine them to conclude the existence of closed geodesics in the leaf space of some classes of singular Riemannian foliations (s.r.f.), namely s.r.f. that admit sections or have no horizontal conjugate points. We also investigate the shortening process with respect to Riemannian foliations.

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Marcos M. Alexandrino, Miguel Angel Javaloyes. 2010-02-04. On closed geodesics in the leaf spaces of singular Riemannian foliations. https://doi.org/10.1017/s0017089511000127

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