Attracting basins of volume preserving automorphisms of $\mathbb{C}^k$

Mathematics – Complex Variables

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

11 pages

Scientific paper

We study toplogical properties of attracting sets for automorphisms of $\mathbb{C}^k$. 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 the fixed point is an attracting fixed point. We will see that the latter does not hold in the non-autonomous setting.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Attracting basins of volume preserving automorphisms of $\mathbb{C}^k$ does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Attracting basins of volume preserving automorphisms of $\mathbb{C}^k$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Attracting basins of volume preserving automorphisms of $\mathbb{C}^k$ will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-616353

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.