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4 votes
1 answer
132 views

The continuity of the the stable and unstable in definition of hyperbolic sets for flows

I would like to know whether the continuity of the stable and unstable subbundles $E^{s}$ and $E^{u}$ follows from the growth conditions as in the discrete case, or must be hypothesized, in the ...
Julian's user avatar
  • 41
2 votes
0 answers
83 views

Question about stable manifold theorem and Frobenius integrability theorem

I have a question about Anosov diffeomorphism (Wikipedia: Anosov diffeomorphisms) For hyperbolic fixed point $p$, $W^{s}(p)$ is a smooth manifold and its tangent space has the same dimension as the ...
WaoaoaoTTTT's user avatar
0 votes
0 answers
61 views

Unique poine in holonomies

Let $\Lambda$ be Axiom A for $C^{1+\gamma}$ $f$. I am reading this paper. I have a problem to undestand holonomies. The holonomy mapping $$ h: W_{loc}^{s} (x) \cap\Lambda \rightarrow W_{loc}^{s} (y) \...
Adam's user avatar
  • 1,043