Andrey Gogolev, Federico Rodriguez Hertz
Published 2021-05-21Version 1
We study rigidity of Anosov diffeomorphisms in a sufficiently small C^1 neighborhood of a linear hyperbolic automorphisms of the 3-dimensional torus which has a pair of complex conjugate eigenvalues. In particular, we show that two very non-algebraic (an open and dense condition) Anosov diffeomorphisms from this neighborhood are smoothly conjugate if and only they have matching Jacobian periodic data.
Comments: This first version addresses 3-dimensional setting. We plan to include higher dimensional generalizations when we update to second version
Smooth rigidity for codimension one Anosov flows
Bogdanov-Takens bifurcation of codimension $3$ in the Gierer-Meinhardt model
Second type foliations of codimension one
![QR code for arXiv:2105.10539 [math.DS]](http://oss.arxitics.com/images/favicon.svg)