pith. sign in

arxiv: 1710.11502 · v3 · pith:WGRZ6PQEnew · submitted 2017-10-31 · 🧮 math.DS

Moduli of 3-dimensional diffeomorphisms with saddle-foci

classification 🧮 math.DS
keywords diffeomorphismsmathcalmodulidimensionaleigenvaluesunstableconditionsconformal
0
0 comments X
read the original abstract

We consider a space $\mathcal{U}$ of 3-dimensional diffeomorphisms $f$ with hyperbolic fixed points $p$ the stable and unstable manifolds of which have quadratic tangencies and satisfying some open conditions and such that $Df(p)$ has non-real expanding eigenvalues and a real contracting eigenvalue. The aim of this paper is to study moduli of diffeomorphisms in $\mathcal{U}$. We show that, for a generic element $f$ of $\mathcal{U}$, all the eigenvalues of $Df(p)$ are moduli and the restriction of a conjugacy homeomorphism to a local unstable manifold is a uniquely determined linear conformal map.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.