Attracting Basins of Volume Preserving Automorphisms of C
نویسنده
چکیده
We study topological properties of attracting sets for automorphisms of Ck. Our main result is that a generic volume preserving automorphism has a hyperbolic fixed point with a dense stable manifold. We prove the same result for volume preserving maps tangent to the identity. On the other hand, we show that an attracting set can only contain a neighborhood of the fixed point if it is an attracting fixed point. We will see that the latter does not hold in the non-autonomous setting.
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