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Distribution of closed geodesics with a preassigned homology class in a negatively curved manifold
Published online by Cambridge University Press: 22 January 2016
Extract
Let M be a compact Riemannian manifold whose geodesic flow φi : UM→UM on the unit tangent bundle is of Anosov type. In this paper we count the number of φi-closed orbits and study the distribution of prime closed geodesies in a given homology class in H1(M, Z). Here a prime closed geodesic means an (oriented) image of a φi-closed orbit by the projection p : UM → M.
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- Copyright © Editorial Board of Nagoya Mathematical Journal 1988