On the growth rate of contractible closed geodesics on reducible manifolds
classification
🧮 math.DG
math.DS
keywords
closedcontractiblegeodesicsgrowthmanifoldsratearbitrarybumpy
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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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