WebJan 19, 2024 · Abstract: We construct a family of partially hyperbolic skew-product diffeomorphisms on $\mathbb{T}^3$ that are robustly transitive and admitting two … WebMay 1, 2005 · The known examples of transitive partially hyperbolic diffeomorphisms on 3-manifolds belong to 3 basic classes: perturbations of skew products over an Anosov map of T2, perturbations of the time ...
Transitive partially hyperbolic diffeomorphisms on 3-manifolds
WebRecall that a diffeomorphism on a connected closed manifold M is transitive if it admits a dense orbit. In thispaper,we work inC1-scenario. TheoremA. Let f be aC1-partially … WebNov 15, 2024 · Comments: Revised the main theorem and its proof to include singular points of singular dimension one: Subjects: Geometric Topology (math.GT); Differential Geometry (math.DG) MSC classes:: 57R18, 57R50, 58D05 checklist on in-town move
Some sufficient conditions for transitivity of Anosov …
WebJan 19, 2024 · We construct a family of partially hyperbolic skew-product diffeomorphisms on $\\mathbb{T}^3$ that are robustly transitive and admitting two physical measures with intermingled basins. In particularly, all these diffeomorphisms are not topologically mixing. Moreover, for every such example, it exhibits a dichotomy under perturbation: every … In mathematics, a diffeomorphism is an isomorphism of smooth manifolds. It is an invertible function that maps one differentiable manifold to another such that both the function and its inverse are differentiable. See more Hadamard-Caccioppoli Theorem If $${\displaystyle U}$$, $${\displaystyle V}$$ are connected open subsets of $${\displaystyle \mathbb {R} ^{n}}$$ such that $${\displaystyle V}$$ is simply connected See more Since any manifold can be locally parametrised, we can consider some explicit maps from $${\displaystyle \mathbb {R} ^{2}}$$ See more Since every diffeomorphism is a homeomorphism, given a pair of manifolds which are diffeomorphic to each other they are in particular homeomorphic to each other. The … See more Let $${\displaystyle M}$$ be a differentiable manifold that is second-countable and Hausdorff. The diffeomorphism group of $${\displaystyle M}$$ is the group of all Topology See more • Anosov diffeomorphism such as Arnold's cat map • Diffeo anomaly also known as a gravitational anomaly, a type anomaly in quantum mechanics See more WebJun 2, 2024 · A new example of robustly transitive diffeomorphism. ... We present an example of a C 1-robustly transitive skew-product with non-trivial, non-hyperbolic action on homology. The example is conservative, ergodic, non-uniformly hyperbolic and its fiber directions cannot be decomposed into two dominated subbundles. flatbed plotter with camera