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Glasgow Mathematical Journal (1)

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ON CLOSED GEODESICS IN THE LEAF SPACE OF SINGULAR RIEMANNIAN FOLIATIONS
MARCOS M. ALEXANDRINO, MIGUEL ANGEL JAVALOYES
Journal:

Glasgow Mathematical Journal / Volume 53 / Issue 3 / September 2011

Published online by Cambridge University Press:

10 March 2011, pp. 555-568

Print publication:

September 2011
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In this paper we prove the existence of closed geodesics in the leaf space of some classes of singular Riemannian foliations (s.r.f.), namely s.r.fs. that admit sections or have no horizontal conjugate points. We also investigate the shortening process with respect to Riemannian foliations.