Classification of Partial Hyperbolic Diffeomorphisms on 3-manifolds, M.Sc. Thesis Sharif University of Technology ; Safdari, Mohammad (Supervisor) ; Nassiri, Meysam (Supervisor)
Abstract
In this dissertation, we will study partially hyperbolic diffeomorphisms. First, we are going to introduce partially hyperbolic diffeomorphisms and construct some examples. One of the important questions in the study of partially hyperbolic diffeomorphisms is their classification problem, which provides a deeper understanding of manifolds and also of partially hyperbolic diffeomorphisms themselves. We will go through this problem by examining Hammerlindl, Potrie’s [1]’s work. They have proved that a partially hyperbolic diffeomorphism on a 3-manifold with a virtually solvable fundamental group, that has no periodic torus tangent to contraction-center or expansion-center, is dynamically...
Cataloging briefClassification of Partial Hyperbolic Diffeomorphisms on 3-manifolds, M.Sc. Thesis Sharif University of Technology ; Safdari, Mohammad (Supervisor) ; Nassiri, Meysam (Supervisor)
Abstract
In this dissertation, we will study partially hyperbolic diffeomorphisms. First, we are going to introduce partially hyperbolic diffeomorphisms and construct some examples. One of the important questions in the study of partially hyperbolic diffeomorphisms is their classification problem, which provides a deeper understanding of manifolds and also of partially hyperbolic diffeomorphisms themselves. We will go through this problem by examining Hammerlindl, Potrie’s [1]’s work. They have proved that a partially hyperbolic diffeomorphism on a 3-manifold with a virtually solvable fundamental group, that has no periodic torus tangent to contraction-center or expansion-center, is dynamically...
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