On the growth rate of contractible closed geodesics on reducible manifolds

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We prove exponential growth rate of contractible closed geodesics for an arbitrary bumpy metric on manifolds of the form X#Y, where the fundamental group of X has a subgroup of finite index at least 3 and Y is simply connected and not a homotopy sphere.
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Differential Geometry, Dynamical Systems, 53C22

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http://salesiana.dossiersoluciones.com/handle/123456789/68264

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0308059
 http://arxiv.org/abs/math/0308059

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arXiv