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math.DG2003
On the growth rate of contractible closed geodesics on reducible manifolds
Gabriel Paternain, Jimmy Petean
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 fin…
math.DG2003
Entropy and collapsing of compact complex surfaces
Gabriel P. Paternain, Jimmy Petean
We study the problem of existence of F-structures on compact complex surfaces, giving a complete classification modulo the gap in the classification of surfaces of class VII. We th…