On the growth rate of contractible closed geodesics on reducible manifolds

Details On the growth rate of contractible closed geodesics on reducible manifolds On the growth rate of contractible closed geodesics on reducible manifolds

2003-08-06

arxiv.org/abs/math/0308059v2

Mathematics

Differential Geometry

There was an error in the original version

Scientific paper

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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