On the growth rate of contractible closed geodesics on reducible manifolds

2003/08/06 by Gabriel Paternain, Paternain, Gabriel, Jimmy Petean +1
Mathematics · #53C22 #Differential Geometry (math.DG) #Dynamical Systems (math.DS) #FOS: Mathematics #math.DG #math.DS #msc:53C22

paper · pdf · doi:10.48550/arxiv.math/0308059

There was an error in the original version

arxiv created 2004/05/31 · arxiv updated 2009/12/01

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.

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