| On the growth rate of contractible closed geodesics on reducible manifolds (2003) | |||||||||
Abstract | |||||||||
| 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.. Comment: There was an error in the original version | |||||||||
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