2 citations · 4 across the 7 of their papers we have counts for
10 papers
Rigidity properties of Anosov optical hypersurfaces
Nurlan S. Dairbekov, Gabriel P. Paternain
We consider an optical hypersurface in the cotangent bundle of a closed manifold endowed with a twisted symplectic structure. We show that if the characterist…
Collapsing manifolds obtained by Kummer-type constructions
Gabriel P. Paternain, Jimmy Petean
We construct F-structures on a Bott manifold and on some other manifolds obtained by Kummer-type constructions. We also prove that if M=E#X, where E is a fiber bundle with structur…
Magnetic Rigidity of Horocycle flows
Gabriel P. Paternain
Let be a closed oriented surface endowed with a Riemannian metric and let be a 2-form. We show that the magnetic flow of the pair has zero asymptotic Maslov ind…
Zero entropy and bounded topology
Gabriel P. Paternain, Jimmy Petean
We study the existence of Riemannian metrics with zero topological entropy on a closed manifold M with infinite fundamental group. We show that such a metric does not exist if ther…
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…
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…